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Finding the Fourth Proportional to 20,747.97, 31,123.89 and 8,264.97

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Solution

The fourth proportional to 20,747.97, 31,123.89 and 8,264.97 is: 12,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747.97 : 31,123.89 = 8,264.97 : x
  2. Step 2: Convert to fraction form
    20,747.97/31,123.89 = 8,264.97/x
  3. Step 3: Cross multiply
    20,747.97x = 31,123.89 × 8,264.97
  4. Step 4: Simplify right side
    20,747.97x = 257,238,017.13
  5. Step 5: Solve for x
    x = 257,238,017.13/20,747.97
  6. Step 6: Final answer
    x = 12,398.23

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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.