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Finding the Fourth Proportional to 15,498, 21,387.72 and 8,874

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Solution

The fourth proportional to 15,498, 21,387.72 and 8,874 is: 12,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498 : 21,387.72 = 8,874 : x
  2. Step 2: Convert to fraction form
    15,498/21,387.72 = 8,874/x
  3. Step 3: Cross multiply
    15,498x = 21,387.72 × 8,874
  4. Step 4: Simplify right side
    15,498x = 189,794,627.28
  5. Step 5: Solve for x
    x = 189,794,627.28/15,498
  6. Step 6: Final answer
    x = 12,246.39

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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.