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Finding the Fourth Proportional to 3,726.92, 5,143.38 and 3,104.84

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Solution

The fourth proportional to 3,726.92, 5,143.38 and 3,104.84 is: 4,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.92 : 5,143.38 = 3,104.84 : x
  2. Step 2: Convert to fraction form
    3,726.92/5,143.38 = 3,104.84/x
  3. Step 3: Cross multiply
    3,726.92x = 5,143.38 × 3,104.84
  4. Step 4: Simplify right side
    3,726.92x = 15,969,371.96
  5. Step 5: Solve for x
    x = 15,969,371.96/3,726.92
  6. Step 6: Final answer
    x = 4,284.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.