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Finding the Fourth Proportional to 31,719.60, 47,575.60 and 8,347.88

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Solution

The fourth proportional to 31,719.60, 47,575.60 and 8,347.88 is: 12,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719.60 : 47,575.60 = 8,347.88 : x
  2. Step 2: Convert to fraction form
    31,719.60/47,575.60 = 8,347.88/x
  3. Step 3: Cross multiply
    31,719.60x = 47,575.60 × 8,347.88
  4. Step 4: Simplify right side
    31,719.60x = 397,155,399.73
  5. Step 5: Solve for x
    x = 397,155,399.73/31,719.60
  6. Step 6: Final answer
    x = 12,520.82

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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.