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Finding the Fourth Proportional to 3,864, 5,781.42 and 2,396.28

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Solution

The fourth proportional to 3,864, 5,781.42 and 2,396.28 is: 3,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,781.42 = 2,396.28 : x
  2. Step 2: Convert to fraction form
    3,864/5,781.42 = 2,396.28/x
  3. Step 3: Cross multiply
    3,864x = 5,781.42 × 2,396.28
  4. Step 4: Simplify right side
    3,864x = 13,853,901.12
  5. Step 5: Solve for x
    x = 13,853,901.12/3,864
  6. Step 6: Final answer
    x = 3,585.38

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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.