Something like you'd like already exists and is implemented in some systems. Specifically, in systems with AMD APUs and discrete graphics card. I'm almost sure Nvidia has something similar, but not certain.
SLI or Crossfire requires two discrete graphics cards (and possibly identical).
There is also another solution - also used in laptops - which switches between cards depending on intensity of task. but it's only switching.
Anyway, this system utilizes both graphics cards simultaneously - one for demanding tasks, one for less demanding (in effect combining both GPU's and Video RAM). Unfortunately, this way has it's drawbacks, called stuttering (faster card needs to synchronize frames with slower one, causing micro-freezing). So idea is nice, but reality is that both those graphics cards in tandem are slower than faster one on single.
Also, Intel Graphics card has only very small amount of RAM for it's use. Rest - about 95% of it - is shared RAM, which is "reserved" for Intel GPU.
And to put a cherry on top of this [sour] cake - your 4GB card will do exactly the same thing (use system shared memory) as the Intel one, if it will need more RAM.