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Finding the Fourth Proportional to 28,195.80, 42,245.10 and 13,372.80

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Solution

The fourth proportional to 28,195.80, 42,245.10 and 13,372.80 is: 20,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,195.80 : 42,245.10 = 13,372.80 : x
  2. Step 2: Convert to fraction form
    28,195.80/42,245.10 = 13,372.80/x
  3. Step 3: Cross multiply
    28,195.80x = 42,245.10 × 13,372.80
  4. Step 4: Simplify right side
    28,195.80x = 564,935,273.28
  5. Step 5: Solve for x
    x = 564,935,273.28/28,195.80
  6. Step 6: Final answer
    x = 20,036.15

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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.