Hi GTXJackBauer!
1920x1080= 2,073,600 pixels (1080p)
2560x1440= 3,692,160 pixels
4096x2160= 8,847,360 pixels (4K)
5760x1080= 6,220,800 pixels
7680x1440= 11,059,200 pixels
12,228x2160= 26,542,080 pixels
Resolution and vram are definitely positively correlated but I'm not sure of the exact 'formula' for the relationship(resolution, 'gamecode' and ?).
As far as 'will 5GB be enough for 5 years, have to keep in mind the gamecode factor (which is hugely significant). True, developers are getting better at coding to make more efficient use of hardware. At the same time, though...that same community will continue to try to push the eye candy envelope. Also...3 years in technology is a-g-e-s.
That said, I'd like to believe that 5GB of vram, in most cases, would be sufficient over the next 3 years at 5760x1080 or less (I've haven't seen or tested a 4k display..but I sure would love to! hehe). I say 'in most cases' to cya as well as a guess that there's sure to be a big title (or 2) in 2-3 years that may push the vram usage even higher (and we're currently already at, near or above 3GB for a number of existing titles). I'd reckon that 5GB should be plenty for the next 2 years if you don't move to 4K.
Hope that helps