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Finding the Fourth Proportional to 15,062.76, 20,781.54 and 8,769.96

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Solution

The fourth proportional to 15,062.76, 20,781.54 and 8,769.96 is: 12,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,062.76 : 20,781.54 = 8,769.96 : x
  2. Step 2: Convert to fraction form
    15,062.76/20,781.54 = 8,769.96/x
  3. Step 3: Cross multiply
    15,062.76x = 20,781.54 × 8,769.96
  4. Step 4: Simplify right side
    15,062.76x = 182,253,274.54
  5. Step 5: Solve for x
    x = 182,253,274.54/15,062.76
  6. Step 6: Final answer
    x = 12,099.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.