seo – Does the rank of long tail keywords also have an impact on the rank of short tail keywords?

We have an automotive website with product queries such as: –

1) Audi A4

2) Audi A4 Images

3) Audi A4 mileage

4) Audi A4 Finance

We rank very well on the first two keywords, but our search engine ranking for the third and fourth keywords mentioned above is not very good.

Most of our keyword searches correspond to "Audi A4". Few people are looking for long-tail keywords such as "Audi A4 Mileage" and "Audi A4 Finance".

Is there a relationship between these rankings, that is, if we improve our long-tail keyword rankings – would that also improve our short-run ranking?