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Finding the Fourth Proportional to 8,602.62, 12,882 and 5,672.04

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Solution

The fourth proportional to 8,602.62, 12,882 and 5,672.04 is: 8,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.62 : 12,882 = 5,672.04 : x
  2. Step 2: Convert to fraction form
    8,602.62/12,882 = 5,672.04/x
  3. Step 3: Cross multiply
    8,602.62x = 12,882 × 5,672.04
  4. Step 4: Simplify right side
    8,602.62x = 73,067,219.28
  5. Step 5: Solve for x
    x = 73,067,219.28/8,602.62
  6. Step 6: Final answer
    x = 8,493.60

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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.