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Finding the Fourth Proportional to 8,257.38, 12,375.10 and 7,156.58

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Solution

The fourth proportional to 8,257.38, 12,375.10 and 7,156.58 is: 10,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.38 : 12,375.10 = 7,156.58 : x
  2. Step 2: Convert to fraction form
    8,257.38/12,375.10 = 7,156.58/x
  3. Step 3: Cross multiply
    8,257.38x = 12,375.10 × 7,156.58
  4. Step 4: Simplify right side
    8,257.38x = 88,563,393.16
  5. Step 5: Solve for x
    x = 88,563,393.16/8,257.38
  6. Step 6: Final answer
    x = 10,725.36

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1.5x scale

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.