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Finding the Fourth Proportional to 31,710.60, 47,562.12 and 8,338.86

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Solution

The fourth proportional to 31,710.60, 47,562.12 and 8,338.86 is: 12,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.60 : 47,562.12 = 8,338.86 : x
  2. Step 2: Convert to fraction form
    31,710.60/47,562.12 = 8,338.86/x
  3. Step 3: Cross multiply
    31,710.60x = 47,562.12 × 8,338.86
  4. Step 4: Simplify right side
    31,710.60x = 396,613,859.98
  5. Step 5: Solve for x
    x = 396,613,859.98/31,710.60
  6. Step 6: Final answer
    x = 12,507.30

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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.