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Finding the Fourth Proportional to 8,381.98, 12,572.97 and 2,538.44

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Solution

The fourth proportional to 8,381.98, 12,572.97 and 2,538.44 is: 3,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.98 : 12,572.97 = 2,538.44 : x
  2. Step 2: Convert to fraction form
    8,381.98/12,572.97 = 2,538.44/x
  3. Step 3: Cross multiply
    8,381.98x = 12,572.97 × 2,538.44
  4. Step 4: Simplify right side
    8,381.98x = 31,915,729.97
  5. Step 5: Solve for x
    x = 31,915,729.97/8,381.98
  6. Step 6: Final answer
    x = 3,807.66

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Similar ratio
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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.