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Finding the Fourth Proportional to 3,900, 5,382.36 and 2,221.48

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Solution

The fourth proportional to 3,900, 5,382.36 and 2,221.48 is: 3,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900 : 5,382.36 = 2,221.48 : x
  2. Step 2: Convert to fraction form
    3,900/5,382.36 = 2,221.48/x
  3. Step 3: Cross multiply
    3,900x = 5,382.36 × 2,221.48
  4. Step 4: Simplify right side
    3,900x = 11,956,805.09
  5. Step 5: Solve for x
    x = 11,956,805.09/3,900
  6. Step 6: Final answer
    x = 3,065.85

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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.