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Finding the Fourth Proportional to 22,564, 31,138.36 and 13,138.88

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Solution

The fourth proportional to 22,564, 31,138.36 and 13,138.88 is: 18,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564 : 31,138.36 = 13,138.88 : x
  2. Step 2: Convert to fraction form
    22,564/31,138.36 = 13,138.88/x
  3. Step 3: Cross multiply
    22,564x = 31,138.36 × 13,138.88
  4. Step 4: Simplify right side
    22,564x = 409,123,175.44
  5. Step 5: Solve for x
    x = 409,123,175.44/22,564
  6. Step 6: Final answer
    x = 18,131.68

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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.