Dear OP: We really need to know more information to properly help you. Can you provide the following:
soil profile;
Anticipated wall and column loads;
The source of your 1,000 psf net allowable bearing pressure recommendation;
The type of structure (i.e., masonry, steel, cast-in-place concrete, precast, nuclear reactor, hospital, pumping station); and
Why the requirement for 4,000 psf?
Here's the deal; Bearing design bearing pressure is a moving target. If you have a layered system with alternating layers two feet thick and one is very dense sand and the other soft clay, you can't just dig to the dense sand and then use some big bearing pressure. Heck, the next soft clay layer will feel some of the load and will compress. So, all the layers can be affected, not just the one that you are first in contact with. To properly design for this condition, you'd have to consider the depth of increased soil loads, which is dependent on the wall or column load and the design bearing pressure. It won't take you long to realize that there is a "what came first, the chicken or the egg" problem here.
The other dimension to this whole problem is what is considered "tolerable settlement?" If the soil layers will support 8,000 psf, but the resulting settlement will be 4 inches, who cares? Nobody may want to let their foundation elements (and the column that it's supporting) settle 4 inches! So, you have to temper the "allowable" bearing pressure to something that the client can accept (i.e., 1 in).
There are clearly opportunities to use an engineered subbase or a soil raft to increase the allowable bearing pressure and keep settlements in check. The extent that these opportunities may be helpful for your project would depend on the overall soil profile and the nature of the proposed construction.
It would be incorrect for you to get any advice from this group of folks unless you first provide the requested information. Then again, you could also ask whomever gave you the 1,000 psf, what site improvement measures would be appropriate to increase the bearing pressure to 4,000 psf.
f-d
¡papá gordo ain’t no madre flaca!