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Finding the Fourth Proportional to 8,381.97, 12,572.93 and 2,141.98

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Solution

The fourth proportional to 8,381.97, 12,572.93 and 2,141.98 is: 3,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.97 : 12,572.93 = 2,141.98 : x
  2. Step 2: Convert to fraction form
    8,381.97/12,572.93 = 2,141.98/x
  3. Step 3: Cross multiply
    8,381.97x = 12,572.93 × 2,141.98
  4. Step 4: Simplify right side
    8,381.97x = 26,930,938.52
  5. Step 5: Solve for x
    x = 26,930,938.52/8,381.97
  6. Step 6: Final answer
    x = 3,212.96

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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.