Honestly I think in the future when/if the fiat system in every nation starts totally collapsing, there will be a need for a new currency that is digitalized, which of course Bitcoin will step in. But then you have to think, we'll wait, what will Bitcoin be priced in and what will each Bitcoin represent monetary wise? And I think it will go back to how it should be in the fiat system in the first place, be back totally by gold and silver.
So I think both will go up in the future accordingly with each other, because they are the easiest ways to transact/exchange goods and services without the need for a central banks printing scheme.
Anything with a definitive, finite supply will have to be the replacement currency. If we see the collapse of fiat currencies it will mean that it will be difficult for any government to reinstate it, especially if it is a global collapse and not just one or two countries having worthless currencies.
The only issue I see is that with the finite supply, you can only divide it so far, and so we have no real idea what will happen once we have to divide a finite supply beyond what it was originally intended for, in order to supply the needs of the populace.