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Finding the Fourth Proportional to 22,600, 31,188 and 13,166.74

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Solution

The fourth proportional to 22,600, 31,188 and 13,166.74 is: 18,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600 : 31,188 = 13,166.74 : x
  2. Step 2: Convert to fraction form
    22,600/31,188 = 13,166.74/x
  3. Step 3: Cross multiply
    22,600x = 31,188 × 13,166.74
  4. Step 4: Simplify right side
    22,600x = 410,644,287.12
  5. Step 5: Solve for x
    x = 410,644,287.12/22,600
  6. Step 6: Final answer
    x = 18,170.10

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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.