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Finding the Fourth Proportional to 15,691.62, 21,654.60 and 8,618.10

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Solution

The fourth proportional to 15,691.62, 21,654.60 and 8,618.10 is: 11,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691.62 : 21,654.60 = 8,618.10 : x
  2. Step 2: Convert to fraction form
    15,691.62/21,654.60 = 8,618.10/x
  3. Step 3: Cross multiply
    15,691.62x = 21,654.60 × 8,618.10
  4. Step 4: Simplify right side
    15,691.62x = 186,621,508.26
  5. Step 5: Solve for x
    x = 186,621,508.26/15,691.62
  6. Step 6: Final answer
    x = 11,893.07

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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.