There's only about 300 (giver take) tigers left in the wild. When they're gone our future children are going to ask us why didn't we do anything to save them while we could. To answer your question for future children to see them too.
Why should we even try to save tigers in the first place? They're beautiful creatures and all, but what benefit are they to humans? Fact: over 90% of all the species that ever lived on Earth are gone. Tigers are just another species.