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Finding the Fourth Proportional to 3,860, 5,327.16 and 2,204

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Solution

The fourth proportional to 3,860, 5,327.16 and 2,204 is: 3,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860 : 5,327.16 = 2,204 : x
  2. Step 2: Convert to fraction form
    3,860/5,327.16 = 2,204/x
  3. Step 3: Cross multiply
    3,860x = 5,327.16 × 2,204
  4. Step 4: Simplify right side
    3,860x = 11,741,060.64
  5. Step 5: Solve for x
    x = 11,741,060.64/3,860
  6. Step 6: Final answer
    x = 3,041.73

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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.