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Finding the Fourth Proportional to 6,761.28, 9,327.78 and 4,520.82

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Solution

The fourth proportional to 6,761.28, 9,327.78 and 4,520.82 is: 6,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.28 : 9,327.78 = 4,520.82 : x
  2. Step 2: Convert to fraction form
    6,761.28/9,327.78 = 4,520.82/x
  3. Step 3: Cross multiply
    6,761.28x = 9,327.78 × 4,520.82
  4. Step 4: Simplify right side
    6,761.28x = 42,169,214.38
  5. Step 5: Solve for x
    x = 42,169,214.38/6,761.28
  6. Step 6: Final answer
    x = 6,236.87

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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.