How much information is missing?

Question

If we know the value of $\frac{(a-b)}{(c-d)}$, can we calculate the value of $\frac{(a-d)}{(c-b)}$
That is : Let $\frac{(a-b)}{(c-d)}=k$ , can we calculate $\frac{(a-d)}{(c-b)}$ in terms of $k$
And if not, how can we show mathematically that it is not possible?, and that there is some information missing, is there a way to know how much information is missing?