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Finding the Fourth Proportional to 6,452.75, 9,680.14 and 2,755

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Solution

The fourth proportional to 6,452.75, 9,680.14 and 2,755 is: 4,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.75 : 9,680.14 = 2,755 : x
  2. Step 2: Convert to fraction form
    6,452.75/9,680.14 = 2,755/x
  3. Step 3: Cross multiply
    6,452.75x = 9,680.14 × 2,755
  4. Step 4: Simplify right side
    6,452.75x = 26,668,785.70
  5. Step 5: Solve for x
    x = 26,668,785.70/6,452.75
  6. Step 6: Final answer
    x = 4,132.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.