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Finding the Fourth Proportional to 3,855.64, 5,769.25 and 2,726.57

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Solution

The fourth proportional to 3,855.64, 5,769.25 and 2,726.57 is: 4,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.64 : 5,769.25 = 2,726.57 : x
  2. Step 2: Convert to fraction form
    3,855.64/5,769.25 = 2,726.57/x
  3. Step 3: Cross multiply
    3,855.64x = 5,769.25 × 2,726.57
  4. Step 4: Simplify right side
    3,855.64x = 15,730,263.97
  5. Step 5: Solve for x
    x = 15,730,263.97/3,855.64
  6. Step 6: Final answer
    x = 4,079.81

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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.