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Finding the Fourth Proportional to 6,729.45, 9,286.56 and 3,934.95

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Solution

The fourth proportional to 6,729.45, 9,286.56 and 3,934.95 is: 5,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.45 : 9,286.56 = 3,934.95 : x
  2. Step 2: Convert to fraction form
    6,729.45/9,286.56 = 3,934.95/x
  3. Step 3: Cross multiply
    6,729.45x = 9,286.56 × 3,934.95
  4. Step 4: Simplify right side
    6,729.45x = 36,542,149.27
  5. Step 5: Solve for x
    x = 36,542,149.27/6,729.45
  6. Step 6: Final answer
    x = 5,430.18

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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.