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Finding the Fourth Proportional to 3,867.62, 5,805.52 and 2,407.79

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Solution

The fourth proportional to 3,867.62, 5,805.52 and 2,407.79 is: 3,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.62 : 5,805.52 = 2,407.79 : x
  2. Step 2: Convert to fraction form
    3,867.62/5,805.52 = 2,407.79/x
  3. Step 3: Cross multiply
    3,867.62x = 5,805.52 × 2,407.79
  4. Step 4: Simplify right side
    3,867.62x = 13,978,481.50
  5. Step 5: Solve for x
    x = 13,978,481.50/3,867.62
  6. Step 6: Final answer
    x = 3,614.24

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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.