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Finding the Fourth Proportional to 20,952, 31,422.82 and 12,520.92

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Solution

The fourth proportional to 20,952, 31,422.82 and 12,520.92 is: 18,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952 : 31,422.82 = 12,520.92 : x
  2. Step 2: Convert to fraction form
    20,952/31,422.82 = 12,520.92/x
  3. Step 3: Cross multiply
    20,952x = 31,422.82 × 12,520.92
  4. Step 4: Simplify right side
    20,952x = 393,442,615.39
  5. Step 5: Solve for x
    x = 393,442,615.39/20,952
  6. Step 6: Final answer
    x = 18,778.28

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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.