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Finding the Fourth Proportional to 6,197.27, 8,552.91 and 3,680

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Solution

The fourth proportional to 6,197.27, 8,552.91 and 3,680 is: 5,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.27 : 8,552.91 = 3,680 : x
  2. Step 2: Convert to fraction form
    6,197.27/8,552.91 = 3,680/x
  3. Step 3: Cross multiply
    6,197.27x = 8,552.91 × 3,680
  4. Step 4: Simplify right side
    6,197.27x = 31,474,708.80
  5. Step 5: Solve for x
    x = 31,474,708.80/6,197.27
  6. Step 6: Final answer
    x = 5,078.80

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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.