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Finding the Fourth Proportional to 31,842.60, 47,776.20 and 9,656.16

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Solution

The fourth proportional to 31,842.60, 47,776.20 and 9,656.16 is: 14,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.60 : 47,776.20 = 9,656.16 : x
  2. Step 2: Convert to fraction form
    31,842.60/47,776.20 = 9,656.16/x
  3. Step 3: Cross multiply
    31,842.60x = 47,776.20 × 9,656.16
  4. Step 4: Simplify right side
    31,842.60x = 461,334,631.39
  5. Step 5: Solve for x
    x = 461,334,631.39/31,842.60
  6. Step 6: Final answer
    x = 14,487.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.