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Finding the Fourth Proportional to 3,481.77, 4,805.09 and 1,909.97

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Solution

The fourth proportional to 3,481.77, 4,805.09 and 1,909.97 is: 2,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.77 : 4,805.09 = 1,909.97 : x
  2. Step 2: Convert to fraction form
    3,481.77/4,805.09 = 1,909.97/x
  3. Step 3: Cross multiply
    3,481.77x = 4,805.09 × 1,909.97
  4. Step 4: Simplify right side
    3,481.77x = 9,177,544.17
  5. Step 5: Solve for x
    x = 9,177,544.17/3,481.77
  6. Step 6: Final answer
    x = 2,635.88

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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.