What is the ratio between the fourth proportional of 6, 8, 18, and the mean proportional between 3 & 27?
Answer & explanation
Correct answer: option 3
4th proportional P, Q, R, S
S = \(\frac{QR}{P}\)
Mean proportional = \(\sqrt {PQ }\) of P & Q
4th proportional of 6, 8, 18, \(x\)
\(x\) = \(\frac{8 × 18}{6}\) = 24
Mean proportional = 3, 27
= \(\sqrt {3 × 27 }\) = 9
4th proportional : Mean proportional
24 : 9
8 : 3