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Finding the Fourth Proportional to 2,399.91, 3,311.84 and 1,351.98

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Solution

The fourth proportional to 2,399.91, 3,311.84 and 1,351.98 is: 1,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.91 : 3,311.84 = 1,351.98 : x
  2. Step 2: Convert to fraction form
    2,399.91/3,311.84 = 1,351.98/x
  3. Step 3: Cross multiply
    2,399.91x = 3,311.84 × 1,351.98
  4. Step 4: Simplify right side
    2,399.91x = 4,477,534.68
  5. Step 5: Solve for x
    x = 4,477,534.68/2,399.91
  6. Step 6: Final answer
    x = 1,865.71

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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.