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Finding the Fourth Proportional to 3,431.59, 5,147.38 and 834.51

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Solution

The fourth proportional to 3,431.59, 5,147.38 and 834.51 is: 1,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.59 : 5,147.38 = 834.51 : x
  2. Step 2: Convert to fraction form
    3,431.59/5,147.38 = 834.51/x
  3. Step 3: Cross multiply
    3,431.59x = 5,147.38 × 834.51
  4. Step 4: Simplify right side
    3,431.59x = 4,295,540.08
  5. Step 5: Solve for x
    x = 4,295,540.08/3,431.59
  6. Step 6: Final answer
    x = 1,251.76

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Double scale
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Similar ratio
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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.