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Finding the Fourth Proportional to 8,275.32, 12,400 and 7,037.64

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Solution

The fourth proportional to 8,275.32, 12,400 and 7,037.64 is: 10,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.32 : 12,400 = 7,037.64 : x
  2. Step 2: Convert to fraction form
    8,275.32/12,400 = 7,037.64/x
  3. Step 3: Cross multiply
    8,275.32x = 12,400 × 7,037.64
  4. Step 4: Simplify right side
    8,275.32x = 87,266,736
  5. Step 5: Solve for x
    x = 87,266,736/8,275.32
  6. Step 6: Final answer
    x = 10,545.42

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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.