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Finding the Fourth Proportional to 20,524.29, 30,781.95 and 5,531.06

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Solution

The fourth proportional to 20,524.29, 30,781.95 and 5,531.06 is: 8,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.29 : 30,781.95 = 5,531.06 : x
  2. Step 2: Convert to fraction form
    20,524.29/30,781.95 = 5,531.06/x
  3. Step 3: Cross multiply
    20,524.29x = 30,781.95 × 5,531.06
  4. Step 4: Simplify right side
    20,524.29x = 170,256,658.46
  5. Step 5: Solve for x
    x = 170,256,658.46/20,524.29
  6. Step 6: Final answer
    x = 8,295.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.