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Finding the Fourth Proportional to 3,896.89, 5,845.33 and 1,299.83

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Solution

The fourth proportional to 3,896.89, 5,845.33 and 1,299.83 is: 1,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.89 : 5,845.33 = 1,299.83 : x
  2. Step 2: Convert to fraction form
    3,896.89/5,845.33 = 1,299.83/x
  3. Step 3: Cross multiply
    3,896.89x = 5,845.33 × 1,299.83
  4. Step 4: Simplify right side
    3,896.89x = 7,597,935.29
  5. Step 5: Solve for x
    x = 7,597,935.29/3,896.89
  6. Step 6: Final answer
    x = 1,949.74

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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.