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Finding the Fourth Proportional to 3,845.70, 5,760.45 and 3,197.70

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Solution

The fourth proportional to 3,845.70, 5,760.45 and 3,197.70 is: 4,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.70 : 5,760.45 = 3,197.70 : x
  2. Step 2: Convert to fraction form
    3,845.70/5,760.45 = 3,197.70/x
  3. Step 3: Cross multiply
    3,845.70x = 5,760.45 × 3,197.70
  4. Step 4: Simplify right side
    3,845.70x = 18,420,190.97
  5. Step 5: Solve for x
    x = 18,420,190.97/3,845.70
  6. Step 6: Final answer
    x = 4,789.81

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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.