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Finding the Fourth Proportional to 21,591.78, 32,387.67 and 8,434.93

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Solution

The fourth proportional to 21,591.78, 32,387.67 and 8,434.93 is: 12,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,591.78 : 32,387.67 = 8,434.93 : x
  2. Step 2: Convert to fraction form
    21,591.78/32,387.67 = 8,434.93/x
  3. Step 3: Cross multiply
    21,591.78x = 32,387.67 × 8,434.93
  4. Step 4: Simplify right side
    21,591.78x = 273,187,679.97
  5. Step 5: Solve for x
    x = 273,187,679.97/21,591.78
  6. Step 6: Final answer
    x = 12,652.39

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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.