Question
Find the fourth proportion of (k + 3), (2k + 6) and (4k
+ 12). (Note: 'k' is the smallest odd composite number.)Solution
'k' = 9 k + 3 = 9 + 3 = 12 2k + 6 = 2 × 9 + 6 = 24 4k + 12 = 4 × 9 + 12 = 48 Let the fourth proportion be 'm'. 12 : 24 :: 48 : m So, 12 × m = 24 × 48 Or, 'm' = 96
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