The catch
BenQ X500i
Some existing mounts become unusable because of its short optical range and lack of lens shift.
Side by side
If a 120-inch picture has to come from roughly six to seven feet away, the X500i is the one. If you can place it farther back and want more output or vertical lens shift, the X3100i is the one. Published latency figures match at the main gaming formats, which makes room fit the stronger divider.
Before you buy
A 120-inch 16:9 image takes about 6.0 to 7.2 feet from lens to screen with X500i and about 10.0 to 13.1 feet with X3100i. From seven feet, X500i fits optically and X3100i does not, and digital correction cannot make up the missing optical width.
Where this comes from
BenQ X500i: Throw 0.69 to 0.83. Screen width 120 × 16 / √337 = 104.59 inches. BenQ X3100i: Throw 1.15 to 1.50. Distance = image width × throw ratio.
The catch
Some existing mounts become unusable because of its short optical range and lack of lens shift.
The catch
The longer throw takes considerably more room, and it brings no lower listed lag in return.


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Gaming and movies on the BenQ X500i or X3100i: work out the room depth each needs and see why the larger model is not always the upgrade that helps.
Which one fits
The placement falls only within X500i’s optical range.
That distance is within the optical range of X3100i alone.
Both quote the same latency values.
Vertical lens shift is on X3100i, within its installation limits.
In practice
A 120-inch 16:9 image takes about 6.0 to 7.2 feet from lens to screen with X500i and about 10.0 to 13.1 feet with X3100i. From seven feet, X500i fits optically and X3100i does not, and digital correction cannot make up the missing optical width.
BenQ X500i: Throw 0.69 to 0.83. Screen width 120 × 16 / √337 = 104.59 inches. BenQ X3100i: Throw 1.15 to 1.50. Distance = image width × throw ratio.
Image area grows by about 56 percent in going from a 120-inch to a 150-inch picture, while X3100i’s rated output is 50 percent above X500i’s. At equal gain and comparable modes, the output increase by itself would not fully preserve light per unit area on that larger screen.
BenQ X500i: 2,200 ANSI-lumen rating. BenQ X3100i: 3,300 ANSI-lumen rating. (150 / 120)² = 1.5625. This is a geometric illustration. It does not measure screen brightness.
The 4K60 and high-refresh 1080p latency values published for both are the same. If the short-throw room suits X500i, the X3100i premium brings no documented latency advantage at those settings. Its placement controls and output are the useful reasons to move up.
BenQ X500i: 16.7, 8.3 and 4.2 ms for the listed formats. BenQ X3100i: Identical manufacturer values for those formats. Processing settings still matter.
Plug in your numbers
This checks hard limits only. Personal preferences are left out of the math.
For a 120-inch 16:9 picture, the manual-table lens range is about 6.01 to 7.23 ft. You entered 9.50 ft. Optical fit only: use the 1.2x optical zoom, level square placement at the fixed image height, body/cable space, 50 cm wall clearance and free airflow. No optical lens shift. For image quality, BenQ recommends the manual’s non-gray table rows. Test the actual image before mounting. Digital correction adds no optical range.
For a 120-inch 16:9 picture, the calculated lens range is about 10.02 to 13.07 ft. You entered 9.50 ft.
Measure distance from the lens to the screen. The math assumes a 16:9 picture and uses the verified throw range for each exact model.

BenQ, X500i
This short-throw 4LED gaming projector puts a big image in front of a desk or sofa without taking up the full depth of the room.

BenQ, X3100i
This 4LED gaming projector delivers rich color with low latency, wide resolution support, Android TV and a generous vertical shift range.
Spec by spec
| Spec | BenQ X500i | BenQ X3100i | In practice |
|---|---|---|---|
| Optical throw range | 0.69 to 0.83 | 1.15 to 1.50 | For the same picture size, these ranges never overlap. |
| Published output | 2,200 ANSI lumens | 3,300 ANSI lumens | X3100i is rated for 50 percent more output, which is not a verified 50 percent brighter calibrated picture. |
| Published input lag | 16.7 ms at 4K60, 8.3 ms at 1080p120, 4.2 ms at 1080p240 | The same three figures | Moving to the higher tier does not improve these manufacturer latency claims. |
| Placement adjustment | Short-throw zoom, no optical lens shift | Longer throw with vertical lens shift | Placement by height is what shift helps with. It cannot shorten the room depth required. |
| Streaming | Included Android TV device | Included Android TV device | A streaming route is included in both, so there is no separate purchase to decide. |
Trade-offs
Change of plan
Go with BenQ X500i. A short throw leaves the projector in front of the main seating
Go with BenQ X3100i. Vertical lens shift would help with where the mount goes
By the numbers
What we found across the home projectors we compare, plus the checked facts behind each finding.
| Product | Needs it meets | Facts we checked | Sources |
|---|---|---|---|
| BenQ X500i |
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| BenQ X3100i |
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Ready to buy
Open either model on Amazon for the current price, customer reviews and delivery options.

Your lens has to be about six to seven feet from a 120-inch screen
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You can put the lens ten to thirteen feet from a 120-inch screen
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