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Finding the Fourth Proportional to 6,766.17, 9,336.42 and 3,781.64

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Solution

The fourth proportional to 6,766.17, 9,336.42 and 3,781.64 is: 5,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.17 : 9,336.42 = 3,781.64 : x
  2. Step 2: Convert to fraction form
    6,766.17/9,336.42 = 3,781.64/x
  3. Step 3: Cross multiply
    6,766.17x = 9,336.42 × 3,781.64
  4. Step 4: Simplify right side
    6,766.17x = 35,306,932.65
  5. Step 5: Solve for x
    x = 35,306,932.65/6,766.17
  6. Step 6: Final answer
    x = 5,218.16

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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.