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Finding the Fourth Proportional to 31,398.78, 47,092.98 and 10,339.11

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Solution

The fourth proportional to 31,398.78, 47,092.98 and 10,339.11 is: 15,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.78 : 47,092.98 = 10,339.11 : x
  2. Step 2: Convert to fraction form
    31,398.78/47,092.98 = 10,339.11/x
  3. Step 3: Cross multiply
    31,398.78x = 47,092.98 × 10,339.11
  4. Step 4: Simplify right side
    31,398.78x = 486,899,500.45
  5. Step 5: Solve for x
    x = 486,899,500.45/31,398.78
  6. Step 6: Final answer
    x = 15,506.96

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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.