You can't really predict this. They will either stay the same (their ratio prices), go higher or go lower.
If BTC goes to $5000, then many might flock to alts to hedge against bitcoin going down. Basically what happened in January 2018.
Alts can also go down if too many people start to panic and leave crypto together. Basically BTC is much stronger than most alts so if BTC crashes then alts can crash a little more due to their smaller liquidity and the ratios can be even lower than today, its possible.
Or the ratios can stay the same with respect to bitcoin. Basically it could start a very slow bear market and the ratios will stay constant while the spot prices of alts against fiat will slowly head downwards.