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Finding the Fourth Proportional to 6,765.85, 9,337.17 and 3,781.68

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Solution

The fourth proportional to 6,765.85, 9,337.17 and 3,781.68 is: 5,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.85 : 9,337.17 = 3,781.68 : x
  2. Step 2: Convert to fraction form
    6,765.85/9,337.17 = 3,781.68/x
  3. Step 3: Cross multiply
    6,765.85x = 9,337.17 × 3,781.68
  4. Step 4: Simplify right side
    6,765.85x = 35,310,189.05
  5. Step 5: Solve for x
    x = 35,310,189.05/6,765.85
  6. Step 6: Final answer
    x = 5,218.88

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