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Finding the Fourth Proportional to 3,944.75, 5,917.75 and 1,171.14

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Solution

The fourth proportional to 3,944.75, 5,917.75 and 1,171.14 is: 1,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.75 : 5,917.75 = 1,171.14 : x
  2. Step 2: Convert to fraction form
    3,944.75/5,917.75 = 1,171.14/x
  3. Step 3: Cross multiply
    3,944.75x = 5,917.75 × 1,171.14
  4. Step 4: Simplify right side
    3,944.75x = 6,930,507.88
  5. Step 5: Solve for x
    x = 6,930,507.88/3,944.75
  6. Step 6: Final answer
    x = 1,756.89

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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.