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Finding the Fourth Proportional to 8,422.52, 12,652.02 and 5,137.58

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Solution

The fourth proportional to 8,422.52, 12,652.02 and 5,137.58 is: 7,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.52 : 12,652.02 = 5,137.58 : x
  2. Step 2: Convert to fraction form
    8,422.52/12,652.02 = 5,137.58/x
  3. Step 3: Cross multiply
    8,422.52x = 12,652.02 × 5,137.58
  4. Step 4: Simplify right side
    8,422.52x = 65,000,764.91
  5. Step 5: Solve for x
    x = 65,000,764.91/8,422.52
  6. Step 6: Final answer
    x = 7,717.50

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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.