Question
Download Solution PDFFind the ratio between the fourth proportional of 8, 9, 15 and the fourth proportional of 12, 18, 20.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
First set of numbers: 8, 9, 15
Second set of numbers: 12, 18, 20
Formula Used:
If a, b, c, d are in proportion, then a/b = c/d. Here, d is the fourth proportional.
Calculation:
Let the fourth proportional of 8, 9, 15 be x.
8/9 = 15/x
⇒ 8 × x = 9 × 15
⇒ 8x = 135
⇒ x = 135/8
Let the fourth proportional of 12, 18, 20 be y.
12/18 = 20/y
⇒ 12 × y = 18 × 20
⇒ 12y = 360
⇒ y = 360/12
⇒ y = 30
Ratio between the fourth proportionals = x : y
⇒ Ratio = (135/8) : 30
⇒ Ratio = 135 : (30 × 8)
⇒ Ratio = 135 : 240
⇒ Ratio = 9 : 16
∴ The ratio between the fourth proportionals is 9:16.
Last updated on Dec 9, 2024
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