So, so interesting!
https://www.sciencefocus.com/nature/why-have-big-cats-evolved-but-not-big-dogs/
The equivalent of the tiger to a cat is a BEAR to a DOG!
We colloquially group cats and dogs together because we keep domestic versions of both of them as pets, but they are different animals that have evolved to fit different niches. Cats and dogs are both in the Carnivora order, but their last common ancestor lived about 42 million years ago.
Since then they have diverged into feliforms (cats, hyenas and mongooses) and caniforms – a more diverse group that includes raccoons and walruses, as well as dogs. Bears are caniforms too, and are more closely related to dogs than cats are. So you could argue that big dogs do exist, and the equivalent of the tiger in the dog world is a grizzly bear!
So mathematically and zoologically, you can say that
Cat: Tiger = Dog: Bear
Hahaha….