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Finding the Fourth Proportional to 8,691.52, 12,959.84 and 8,536

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Solution

The fourth proportional to 8,691.52, 12,959.84 and 8,536 is: 12,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.52 : 12,959.84 = 8,536 : x
  2. Step 2: Convert to fraction form
    8,691.52/12,959.84 = 8,536/x
  3. Step 3: Cross multiply
    8,691.52x = 12,959.84 × 8,536
  4. Step 4: Simplify right side
    8,691.52x = 110,625,194.24
  5. Step 5: Solve for x
    x = 110,625,194.24/8,691.52
  6. Step 6: Final answer
    x = 12,727.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.