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Finding the Fourth Proportional to 3,876.70, 5,774 and 3,857.82

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Solution

The fourth proportional to 3,876.70, 5,774 and 3,857.82 is: 5,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.70 : 5,774 = 3,857.82 : x
  2. Step 2: Convert to fraction form
    3,876.70/5,774 = 3,857.82/x
  3. Step 3: Cross multiply
    3,876.70x = 5,774 × 3,857.82
  4. Step 4: Simplify right side
    3,876.70x = 22,275,052.68
  5. Step 5: Solve for x
    x = 22,275,052.68/3,876.70
  6. Step 6: Final answer
    x = 5,745.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.