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Finding the Fourth Proportional to 3,171.53, 4,757.81 and 979.75

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Solution

The fourth proportional to 3,171.53, 4,757.81 and 979.75 is: 1,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.53 : 4,757.81 = 979.75 : x
  2. Step 2: Convert to fraction form
    3,171.53/4,757.81 = 979.75/x
  3. Step 3: Cross multiply
    3,171.53x = 4,757.81 × 979.75
  4. Step 4: Simplify right side
    3,171.53x = 4,661,464.35
  5. Step 5: Solve for x
    x = 4,661,464.35/3,171.53
  6. Step 6: Final answer
    x = 1,469.78

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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.