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Finding the Fourth Proportional to 3,896.85, 5,845.57 and 1,299.79

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Solution

The fourth proportional to 3,896.85, 5,845.57 and 1,299.79 is: 1,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.85 : 5,845.57 = 1,299.79 : x
  2. Step 2: Convert to fraction form
    3,896.85/5,845.57 = 1,299.79/x
  3. Step 3: Cross multiply
    3,896.85x = 5,845.57 × 1,299.79
  4. Step 4: Simplify right side
    3,896.85x = 7,597,984.20
  5. Step 5: Solve for x
    x = 7,597,984.20/3,896.85
  6. Step 6: Final answer
    x = 1,949.78

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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.