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Finding the Fourth Proportional to 3,174.45, 4,761.57 and 834.42

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Solution

The fourth proportional to 3,174.45, 4,761.57 and 834.42 is: 1,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.45 : 4,761.57 = 834.42 : x
  2. Step 2: Convert to fraction form
    3,174.45/4,761.57 = 834.42/x
  3. Step 3: Cross multiply
    3,174.45x = 4,761.57 × 834.42
  4. Step 4: Simplify right side
    3,174.45x = 3,973,147.03
  5. Step 5: Solve for x
    x = 3,973,147.03/3,174.45
  6. Step 6: Final answer
    x = 1,251.60

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1.5x scale

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.