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Finding the Fourth Proportional to 6,781.67, 9,358.87 and 3,798.11

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Solution

The fourth proportional to 6,781.67, 9,358.87 and 3,798.11 is: 5,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.67 : 9,358.87 = 3,798.11 : x
  2. Step 2: Convert to fraction form
    6,781.67/9,358.87 = 3,798.11/x
  3. Step 3: Cross multiply
    6,781.67x = 9,358.87 × 3,798.11
  4. Step 4: Simplify right side
    6,781.67x = 35,545,961.45
  5. Step 5: Solve for x
    x = 35,545,961.45/6,781.67
  6. Step 6: Final answer
    x = 5,241.48

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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.