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Finding the Fourth Proportional to 20,560.82, 30,843.03 and 5,769.86

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Solution

The fourth proportional to 20,560.82, 30,843.03 and 5,769.86 is: 8,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.82 : 30,843.03 = 5,769.86 : x
  2. Step 2: Convert to fraction form
    20,560.82/30,843.03 = 5,769.86/x
  3. Step 3: Cross multiply
    20,560.82x = 30,843.03 × 5,769.86
  4. Step 4: Simplify right side
    20,560.82x = 177,959,965.08
  5. Step 5: Solve for x
    x = 177,959,965.08/20,560.82
  6. Step 6: Final answer
    x = 8,655.30

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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.