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Finding the Fourth Proportional to 22,934, 31,649.40 and 12,998

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Solution

The fourth proportional to 22,934, 31,649.40 and 12,998 is: 17,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934 : 31,649.40 = 12,998 : x
  2. Step 2: Convert to fraction form
    22,934/31,649.40 = 12,998/x
  3. Step 3: Cross multiply
    22,934x = 31,649.40 × 12,998
  4. Step 4: Simplify right side
    22,934x = 411,378,901.20
  5. Step 5: Solve for x
    x = 411,378,901.20/22,934
  6. Step 6: Final answer
    x = 17,937.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.