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Finding the Fourth Proportional to 3,896.31, 5,844.51 and 1,123.03

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Solution

The fourth proportional to 3,896.31, 5,844.51 and 1,123.03 is: 1,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.31 : 5,844.51 = 1,123.03 : x
  2. Step 2: Convert to fraction form
    3,896.31/5,844.51 = 1,123.03/x
  3. Step 3: Cross multiply
    3,896.31x = 5,844.51 × 1,123.03
  4. Step 4: Simplify right side
    3,896.31x = 6,563,545.45
  5. Step 5: Solve for x
    x = 6,563,545.45/3,896.31
  6. Step 6: Final answer
    x = 1,684.55

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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.