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Finding the Fourth Proportional to 21,862, 32,793.12 and 5,446

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Solution

The fourth proportional to 21,862, 32,793.12 and 5,446 is: 8,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862 : 32,793.12 = 5,446 : x
  2. Step 2: Convert to fraction form
    21,862/32,793.12 = 5,446/x
  3. Step 3: Cross multiply
    21,862x = 32,793.12 × 5,446
  4. Step 4: Simplify right side
    21,862x = 178,591,331.52
  5. Step 5: Solve for x
    x = 178,591,331.52/21,862
  6. Step 6: Final answer
    x = 8,169.03

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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.