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Finding the Fourth Proportional to 2,242.78, 3,096.12 and 1,538.44

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Solution

The fourth proportional to 2,242.78, 3,096.12 and 1,538.44 is: 2,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.78 : 3,096.12 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    2,242.78/3,096.12 = 1,538.44/x
  3. Step 3: Cross multiply
    2,242.78x = 3,096.12 × 1,538.44
  4. Step 4: Simplify right side
    2,242.78x = 4,763,194.85
  5. Step 5: Solve for x
    x = 4,763,194.85/2,242.78
  6. Step 6: Final answer
    x = 2,123.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.