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Finding the Fourth Proportional to 3,769.75, 5,661.11 and 3,426.31

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Solution

The fourth proportional to 3,769.75, 5,661.11 and 3,426.31 is: 5,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.75 : 5,661.11 = 3,426.31 : x
  2. Step 2: Convert to fraction form
    3,769.75/5,661.11 = 3,426.31/x
  3. Step 3: Cross multiply
    3,769.75x = 5,661.11 × 3,426.31
  4. Step 4: Simplify right side
    3,769.75x = 19,396,717.80
  5. Step 5: Solve for x
    x = 19,396,717.80/3,769.75
  6. Step 6: Final answer
    x = 5,145.36

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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.