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Finding the Fourth Proportional to 2,469.70, 3,408.24 and 1,350.68

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Solution

The fourth proportional to 2,469.70, 3,408.24 and 1,350.68 is: 1,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.70 : 3,408.24 = 1,350.68 : x
  2. Step 2: Convert to fraction form
    2,469.70/3,408.24 = 1,350.68/x
  3. Step 3: Cross multiply
    2,469.70x = 3,408.24 × 1,350.68
  4. Step 4: Simplify right side
    2,469.70x = 4,603,441.60
  5. Step 5: Solve for x
    x = 4,603,441.60/2,469.70
  6. Step 6: Final answer
    x = 1,863.97

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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.