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Finding the Fourth Proportional to 31,712.64, 47,565.17 and 8,340.90

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Solution

The fourth proportional to 31,712.64, 47,565.17 and 8,340.90 is: 12,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.64 : 47,565.17 = 8,340.90 : x
  2. Step 2: Convert to fraction form
    31,712.64/47,565.17 = 8,340.90/x
  3. Step 3: Cross multiply
    31,712.64x = 47,565.17 × 8,340.90
  4. Step 4: Simplify right side
    31,712.64x = 396,736,326.45
  5. Step 5: Solve for x
    x = 396,736,326.45/31,712.64
  6. Step 6: Final answer
    x = 12,510.35

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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.