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Finding the Fourth Proportional to 31,909.97, 47,864.97 and 14,359.30

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Solution

The fourth proportional to 31,909.97, 47,864.97 and 14,359.30 is: 21,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.97 : 47,864.97 = 14,359.30 : x
  2. Step 2: Convert to fraction form
    31,909.97/47,864.97 = 14,359.30/x
  3. Step 3: Cross multiply
    31,909.97x = 47,864.97 × 14,359.30
  4. Step 4: Simplify right side
    31,909.97x = 687,307,463.72
  5. Step 5: Solve for x
    x = 687,307,463.72/31,909.97
  6. Step 6: Final answer
    x = 21,538.96

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1.5x scale

Why These Related Problems?

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