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Finding the Fourth Proportional to 16,531, 22,812.78 and 9,079

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Solution

The fourth proportional to 16,531, 22,812.78 and 9,079 is: 12,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531 : 22,812.78 = 9,079 : x
  2. Step 2: Convert to fraction form
    16,531/22,812.78 = 9,079/x
  3. Step 3: Cross multiply
    16,531x = 22,812.78 × 9,079
  4. Step 4: Simplify right side
    16,531x = 207,117,229.62
  5. Step 5: Solve for x
    x = 207,117,229.62/16,531
  6. Step 6: Final answer
    x = 12,529.02

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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.