The fourth proportionals are bc/a and st/r
How to determine the fourth proportional?
Segments a, b and c
Let the fourth segment be x.
So, we have the following equivalent ratio
a : b = c : x
Express as fraction
a/b = c/x
Make x the subject
x = bc/a
Segments r, s and t
Let the fourth segment be x.
So, we have the following equivalent ratio
r : s = t : x
Express as fraction
r/s = t/x
Make x the subject
x = st/r
Hence, the fourth proportionals are bc/a and st/r
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