The projector you want may not work in a small room
To get a 120-inch picture from a lens 9.5 ft away, you need a throw ratio of about 1.09. The Hisense M2 Pro and JMGO N3 Ultimate cover that, and the XGIMI HORIZON 20 and Epson Flex Plus do not. When someone in the room needs simultaneous-color imaging, neither of those first two offers the right way out.
Checked , US models, math based on published specs
Common situations
You rent. The shelf behind the sofa cannot move. The screen has to work for everyone who watches.
Change any one of these limits and the right buy can change with it.
Measure from the lens, once you have allowed for the body and cables.
Look at the screen size and the viewer requirement side by side.
When both constraints fail, adjust the setup before you touch the budget.
Your room and the people watching
Which limit rules a model out?
2 of these 5 models pass both limits
120-inch picture, 9.5 ft from the lens, needs a throw ratio of 1.090
Lens estimates for your 16:9 screen, with no digital shrink or keystone.
Model
Required lens distance
Room fit
Viewer limit
Hisense M2 Pro
8.72 to 11.33 ft
In lens range
No filter on
JMGO N3 Ultimate
7.67 to 14.82 ft
In lens range
No filter on
XGIMI HORIZON 20
10.46 to 13.07 ft
Out of lens range
No filter on
Epson Flex Plus
10.46 to 10.46 ft
Out of lens range
No filter on
Epson Home Cinema 3800
11.50 to 18.74 ft
Out of lens range
No filter on
The math and the install limits
Picture width = diagonal × 16 ÷ √337. Throw ratio needed = lens distance in inches ÷ picture width. The model’s documented lens range has to include that ratio. Results near a rounded limit need the exact install table. A fit here says nothing about brightness, focus at every lens-shift position, safe mounting, ventilation or cable clearance.
Your usable lens distance is shorter than the room when the projector body and its rear clearance take up part of it, so measure where the lens will sit. An ultra-short-throw projector needs its own cabinet and screen-height diagram and is outside this rear-shelf check.
Before you pick a model
Figure out what you can change
A rental with a shelf behind the sofa
When the shelf has to stay where it is, a shorter-throw model helps. Going UST at the front of the room means different furniture and a screen position that works with it. Before you count UST as the easy way out, make sure you are allowed to make those changes and that the dimensions work.
A wall-to-wall measurement of 9.5 ft leaves you less than 9.5 ft from the lens. The worked example here starts from a lens position you have already measured.
Two viewers who react differently
Whoever notices rainbow flashes should watch the DLP model you have in mind while it can still be returned. On some models, firmware or an anti-RBE setting may help, but we cannot promise how any one model will respond. If simultaneous color is a hard requirement, the DLP picks here drop out before brightness or price even come up.
Lock in both 120 inches and 9.5 ft, and neither of the two 3LCD models we checked fits. Settling for a smaller picture can beat paying more for a projector with the same mismatch.
The living room is reset every night
A side shelf may not mean manual setup every evening, so look at the HORIZON 20 firmware first. According to XGIMI’s June 2026 V1.4.163 release notes, autofocus and automatic keystone work again after lens shift, which overrides the restriction on the older product page.
Marking the spot still makes nightly placement easier. That spot has to suit the optical reach, the lens shift on offer and any game-mode limits. The update does not show that every automatic feature stays available in every mode.
Movie nights in a shared living room
Start with geometry. When someone else leaves a lamp on, it still matters where that light falls. A projector that fits the room is not automatically one for daylight viewing. Check the screen material, the light reaching the screen and the picture mode you pick separately.
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M2 Pro
The shelf cannot move, and everyone is fine watching DLP
Hisense M2 Pro
The 1.09 ratio in the worked example falls inside its 1.0 to 1.3 optical range. A 120-inch plan stays possible without a new mount.
What it does not solveA sequential-color DLP engine is still a poor bet for anyone already bothered by rainbow flashes. Optical fit alone tells you nothing about daylight picture quality.
The projector might need to travel between different rooms
JMGO N3 Ultimate
Compared with M2 Pro, its 0.88 to 1.7 range gives you more lens-position choices. That flexibility serves a purpose when the available shelf differs from home to home or room to room.
What it does not solveIt uses sequential-color DLP as well, and a broader lens range cannot fix that viewer constraint.
Rainbow flashes are the problem, and you can live with a smaller picture
Epson Lifestudio Flex Plus
3LCD imaging takes the sequential-color mechanism out of the picture. With its fixed 1.2 throw, 9.5 ft gives roughly a 109-inch optical image, and a 120-inch plan needs about 10.46 ft.
What it does not solveDigital shrinking makes the picture smaller, but it cannot enlarge that optical image to 120 inches from the same shelf.
You can put the lens farther back and want 3LCD with optical zoom
Epson Home Cinema 3800
For 120 inches, its 1.32 to 2.15 range begins at around 11.50 ft. It is a candidate only once the room offers that distance.
What it does not solveCheck the body, cables, ventilation and permitted lens-shift combination against the installation manual. A lens position of 9.5 ft fails the 120-inch calculation.
For a permanent 3LCD installation, once you have checked the longer throw distance.
Sources, and what we worked out from them
The inputs come from maker specs. BillionFables works out the fit, checks requirements together and counts the steps in each routine described. These conclusions come from desk research. We have not tested these products in your home.
Single-chip DLP and a 1.2 to 1.5 throw. Read the later firmware notes before relying on the original restriction on automatic adjustment.
HORIZON 20 June 2026 V1.4.163 release notes
For the HORIZON 20 series, this restores autofocus and automatic keystone after lens shift. It does not establish that every automatic function works in every mode.