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Finding the Fourth Proportional to 3,912.90, 5,867.72 and 2,680.68

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Solution

The fourth proportional to 3,912.90, 5,867.72 and 2,680.68 is: 4,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.90 : 5,867.72 = 2,680.68 : x
  2. Step 2: Convert to fraction form
    3,912.90/5,867.72 = 2,680.68/x
  3. Step 3: Cross multiply
    3,912.90x = 5,867.72 × 2,680.68
  4. Step 4: Simplify right side
    3,912.90x = 15,729,479.65
  5. Step 5: Solve for x
    x = 15,729,479.65/3,912.90
  6. Step 6: Final answer
    x = 4,019.90

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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.