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Finding the Fourth Proportional to 3,896.44, 5,843.80 and 1,122.50

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Solution

The fourth proportional to 3,896.44, 5,843.80 and 1,122.50 is: 1,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.44 : 5,843.80 = 1,122.50 : x
  2. Step 2: Convert to fraction form
    3,896.44/5,843.80 = 1,122.50/x
  3. Step 3: Cross multiply
    3,896.44x = 5,843.80 × 1,122.50
  4. Step 4: Simplify right side
    3,896.44x = 6,559,665.50
  5. Step 5: Solve for x
    x = 6,559,665.50/3,896.44
  6. Step 6: Final answer
    x = 1,683.50

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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.