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Finding the Fourth Proportional to 22,540.78, 31,106 and 12,468.44

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Solution

The fourth proportional to 22,540.78, 31,106 and 12,468.44 is: 17,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.78 : 31,106 = 12,468.44 : x
  2. Step 2: Convert to fraction form
    22,540.78/31,106 = 12,468.44/x
  3. Step 3: Cross multiply
    22,540.78x = 31,106 × 12,468.44
  4. Step 4: Simplify right side
    22,540.78x = 387,843,294.64
  5. Step 5: Solve for x
    x = 387,843,294.64/22,540.78
  6. Step 6: Final answer
    x = 17,206.29

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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.