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Finding the Fourth Proportional to 22,623, 31,221.18 and 12,687

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Solution

The fourth proportional to 22,623, 31,221.18 and 12,687 is: 17,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623 : 31,221.18 = 12,687 : x
  2. Step 2: Convert to fraction form
    22,623/31,221.18 = 12,687/x
  3. Step 3: Cross multiply
    22,623x = 31,221.18 × 12,687
  4. Step 4: Simplify right side
    22,623x = 396,103,110.66
  5. Step 5: Solve for x
    x = 396,103,110.66/22,623
  6. Step 6: Final answer
    x = 17,508.87

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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.