The fourth proportional is found by applying the formula
The product of extremes = The product of means.
The fourth proportional is equal to bc/a and st/r
Let the fourth proportional be x then this can be written as
a:b::c:x
Applying the formula of product of extremes
ax= bc
or
x= bc/a
The fourth proportional can be obtained by multiplying the variables bc and dividing by a
Similarly
Let the fourth proportional be y then this can be written as
r:s::t:y
Applying the formula of product of extremes
ry= st
or
y= st/r
The fourth proportional can be obtained by multiplying the variables st and dividing by r
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