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Finding the Fourth Proportional to 15,189, 22,781.34 and 5,327.88

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Solution

The fourth proportional to 15,189, 22,781.34 and 5,327.88 is: 7,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189 : 22,781.34 = 5,327.88 : x
  2. Step 2: Convert to fraction form
    15,189/22,781.34 = 5,327.88/x
  3. Step 3: Cross multiply
    15,189x = 22,781.34 × 5,327.88
  4. Step 4: Simplify right side
    15,189x = 121,376,245.76
  5. Step 5: Solve for x
    x = 121,376,245.76/15,189
  6. Step 6: Final answer
    x = 7,991.06

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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.