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Finding the Fourth Proportional to 3,842.39, 5,759.48 and 2,743.43

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Solution

The fourth proportional to 3,842.39, 5,759.48 and 2,743.43 is: 4,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.39 : 5,759.48 = 2,743.43 : x
  2. Step 2: Convert to fraction form
    3,842.39/5,759.48 = 2,743.43/x
  3. Step 3: Cross multiply
    3,842.39x = 5,759.48 × 2,743.43
  4. Step 4: Simplify right side
    3,842.39x = 15,800,708.28
  5. Step 5: Solve for x
    x = 15,800,708.28/3,842.39
  6. Step 6: Final answer
    x = 4,112.21

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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.