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Finding the Fourth Proportional to 3,843.68, 5,769.84 and 2,287.04

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Solution

The fourth proportional to 3,843.68, 5,769.84 and 2,287.04 is: 3,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.68 : 5,769.84 = 2,287.04 : x
  2. Step 2: Convert to fraction form
    3,843.68/5,769.84 = 2,287.04/x
  3. Step 3: Cross multiply
    3,843.68x = 5,769.84 × 2,287.04
  4. Step 4: Simplify right side
    3,843.68x = 13,195,854.87
  5. Step 5: Solve for x
    x = 13,195,854.87/3,843.68
  6. Step 6: Final answer
    x = 3,433.13

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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.