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Finding the Fourth Proportional to 5,767.76, 7,959.68 and 3,249.90

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Solution

The fourth proportional to 5,767.76, 7,959.68 and 3,249.90 is: 4,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.76 : 7,959.68 = 3,249.90 : x
  2. Step 2: Convert to fraction form
    5,767.76/7,959.68 = 3,249.90/x
  3. Step 3: Cross multiply
    5,767.76x = 7,959.68 × 3,249.90
  4. Step 4: Simplify right side
    5,767.76x = 25,868,147.78
  5. Step 5: Solve for x
    x = 25,868,147.78/5,767.76
  6. Step 6: Final answer
    x = 4,484.96

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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.