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Finding the Fourth Proportional to 7,160.20, 9,882.18 and 4,177

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Solution

The fourth proportional to 7,160.20, 9,882.18 and 4,177 is: 5,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.20 : 9,882.18 = 4,177 : x
  2. Step 2: Convert to fraction form
    7,160.20/9,882.18 = 4,177/x
  3. Step 3: Cross multiply
    7,160.20x = 9,882.18 × 4,177
  4. Step 4: Simplify right side
    7,160.20x = 41,277,865.86
  5. Step 5: Solve for x
    x = 41,277,865.86/7,160.20
  6. Step 6: Final answer
    x = 5,764.90

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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.