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Finding the Fourth Proportional to 3,896.47, 5,845.01 and 1,299.41

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Solution

The fourth proportional to 3,896.47, 5,845.01 and 1,299.41 is: 1,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.47 : 5,845.01 = 1,299.41 : x
  2. Step 2: Convert to fraction form
    3,896.47/5,845.01 = 1,299.41/x
  3. Step 3: Cross multiply
    3,896.47x = 5,845.01 × 1,299.41
  4. Step 4: Simplify right side
    3,896.47x = 7,595,035.22
  5. Step 5: Solve for x
    x = 7,595,035.22/3,896.47
  6. Step 6: Final answer
    x = 1,949.21

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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.