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Finding the Fourth Proportional to 3,896.56, 5,843.46 and 1,122.49

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Solution

The fourth proportional to 3,896.56, 5,843.46 and 1,122.49 is: 1,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.56 : 5,843.46 = 1,122.49 : x
  2. Step 2: Convert to fraction form
    3,896.56/5,843.46 = 1,122.49/x
  3. Step 3: Cross multiply
    3,896.56x = 5,843.46 × 1,122.49
  4. Step 4: Simplify right side
    3,896.56x = 6,559,196.20
  5. Step 5: Solve for x
    x = 6,559,196.20/3,896.56
  6. Step 6: Final answer
    x = 1,683.33

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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.