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Finding the Fourth Proportional to 31,720.70, 47,565.86 and 10,654.90

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Solution

The fourth proportional to 31,720.70, 47,565.86 and 10,654.90 is: 15,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.70 : 47,565.86 = 10,654.90 : x
  2. Step 2: Convert to fraction form
    31,720.70/47,565.86 = 10,654.90/x
  3. Step 3: Cross multiply
    31,720.70x = 47,565.86 × 10,654.90
  4. Step 4: Simplify right side
    31,720.70x = 506,809,481.71
  5. Step 5: Solve for x
    x = 506,809,481.71/31,720.70
  6. Step 6: Final answer
    x = 15,977.25

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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.