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Finding the Fourth Proportional to 21,471.84, 32,177.28 and 8,978.40

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Solution

The fourth proportional to 21,471.84, 32,177.28 and 8,978.40 is: 13,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.84 : 32,177.28 = 8,978.40 : x
  2. Step 2: Convert to fraction form
    21,471.84/32,177.28 = 8,978.40/x
  3. Step 3: Cross multiply
    21,471.84x = 32,177.28 × 8,978.40
  4. Step 4: Simplify right side
    21,471.84x = 288,900,490.75
  5. Step 5: Solve for x
    x = 288,900,490.75/21,471.84
  6. Step 6: Final answer
    x = 13,454.85

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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.