Question
Find the fourth proportion of (3k - 5), (6k - 10) and
(9k - 15). (Note: 'k' is the largest single-digit prime number.)Solution
'k' = 7 3k - 5 = 3 × 7 - 5 = 16 6k - 10 = 6 × 7 - 10 = 32 9k - 15 = 9 × 7 - 15 = 48 Let the fourth proportion be 'm'. 16 : 32 :: 48 : m So, 16 × m = 32 × 48 Or, 'm' = 96
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