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Finding the Fourth Proportional to 3,431.92, 5,147.89 and 834.86

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Solution

The fourth proportional to 3,431.92, 5,147.89 and 834.86 is: 1,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.92 : 5,147.89 = 834.86 : x
  2. Step 2: Convert to fraction form
    3,431.92/5,147.89 = 834.86/x
  3. Step 3: Cross multiply
    3,431.92x = 5,147.89 × 834.86
  4. Step 4: Simplify right side
    3,431.92x = 4,297,739.62
  5. Step 5: Solve for x
    x = 4,297,739.62/3,431.92
  6. Step 6: Final answer
    x = 1,252.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.