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Finding the Fourth Proportional to 8,472.89, 11,773.41 and 8,381.76

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Solution

The fourth proportional to 8,472.89, 11,773.41 and 8,381.76 is: 11,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.89 : 11,773.41 = 8,381.76 : x
  2. Step 2: Convert to fraction form
    8,472.89/11,773.41 = 8,381.76/x
  3. Step 3: Cross multiply
    8,472.89x = 11,773.41 × 8,381.76
  4. Step 4: Simplify right side
    8,472.89x = 98,681,897.00
  5. Step 5: Solve for x
    x = 98,681,897.00/8,472.89
  6. Step 6: Final answer
    x = 11,646.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.