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Finding the Fourth Proportional to 2,399.70, 3,311.80 and 1,351.74

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Solution

The fourth proportional to 2,399.70, 3,311.80 and 1,351.74 is: 1,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.70 : 3,311.80 = 1,351.74 : x
  2. Step 2: Convert to fraction form
    2,399.70/3,311.80 = 1,351.74/x
  3. Step 3: Cross multiply
    2,399.70x = 3,311.80 × 1,351.74
  4. Step 4: Simplify right side
    2,399.70x = 4,476,692.53
  5. Step 5: Solve for x
    x = 4,476,692.53/2,399.70
  6. Step 6: Final answer
    x = 1,865.52

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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.