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Finding the Fourth Proportional to 3,141.25, 4,711.97 and 832.75

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Solution

The fourth proportional to 3,141.25, 4,711.97 and 832.75 is: 1,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.25 : 4,711.97 = 832.75 : x
  2. Step 2: Convert to fraction form
    3,141.25/4,711.97 = 832.75/x
  3. Step 3: Cross multiply
    3,141.25x = 4,711.97 × 832.75
  4. Step 4: Simplify right side
    3,141.25x = 3,923,893.02
  5. Step 5: Solve for x
    x = 3,923,893.02/3,141.25
  6. Step 6: Final answer
    x = 1,249.15

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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.