Question
Download Solution PDFThe fourth proportional to 4, a and 16a is 81. What is the value of a?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The fourth proportional to 4, a, and 16a is 81.
Formula used:
If x is the fourth proportional to 4, a, and 16a, then 4 : a = 16a : 81.
Calculation:
4 / a = 16a / 81
⇒ 4 × 81 = a × 16a
⇒ 324 = 16a2
⇒ a2 = 324 / 16
⇒ a2 = 20.25
⇒ a = √20.25
⇒ a = 4.5
∴ The value of a is 4.5 = 9/2.
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