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Finding the Fourth Proportional to 8,691.52, 13,039.20 and 2,536

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Solution

The fourth proportional to 8,691.52, 13,039.20 and 2,536 is: 3,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.52 : 13,039.20 = 2,536 : x
  2. Step 2: Convert to fraction form
    8,691.52/13,039.20 = 2,536/x
  3. Step 3: Cross multiply
    8,691.52x = 13,039.20 × 2,536
  4. Step 4: Simplify right side
    8,691.52x = 33,067,411.20
  5. Step 5: Solve for x
    x = 33,067,411.20/8,691.52
  6. Step 6: Final answer
    x = 3,804.56

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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.