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Finding the Fourth Proportional to 3,883, 5,358.66 and 2,227

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Solution

The fourth proportional to 3,883, 5,358.66 and 2,227 is: 3,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883 : 5,358.66 = 2,227 : x
  2. Step 2: Convert to fraction form
    3,883/5,358.66 = 2,227/x
  3. Step 3: Cross multiply
    3,883x = 5,358.66 × 2,227
  4. Step 4: Simplify right side
    3,883x = 11,933,735.82
  5. Step 5: Solve for x
    x = 11,933,735.82/3,883
  6. Step 6: Final answer
    x = 3,073.33

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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.