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Finding the Fourth Proportional to 22,229.60, 30,677.33 and 13,275.42

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Solution

The fourth proportional to 22,229.60, 30,677.33 and 13,275.42 is: 18,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.60 : 30,677.33 = 13,275.42 : x
  2. Step 2: Convert to fraction form
    22,229.60/30,677.33 = 13,275.42/x
  3. Step 3: Cross multiply
    22,229.60x = 30,677.33 × 13,275.42
  4. Step 4: Simplify right side
    22,229.60x = 407,254,358.38
  5. Step 5: Solve for x
    x = 407,254,358.38/22,229.60
  6. Step 6: Final answer
    x = 18,320.37

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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.