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Finding the Fourth Proportional to 3,879.97, 5,357.14 and 2,389.91

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Solution

The fourth proportional to 3,879.97, 5,357.14 and 2,389.91 is: 3,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.97 : 5,357.14 = 2,389.91 : x
  2. Step 2: Convert to fraction form
    3,879.97/5,357.14 = 2,389.91/x
  3. Step 3: Cross multiply
    3,879.97x = 5,357.14 × 2,389.91
  4. Step 4: Simplify right side
    3,879.97x = 12,803,049.70
  5. Step 5: Solve for x
    x = 12,803,049.70/3,879.97
  6. Step 6: Final answer
    x = 3,299.78

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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.