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Finding the Fourth Proportional to 8,103.78, 12,155.04 and 3,174.54

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Solution

The fourth proportional to 8,103.78, 12,155.04 and 3,174.54 is: 4,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.78 : 12,155.04 = 3,174.54 : x
  2. Step 2: Convert to fraction form
    8,103.78/12,155.04 = 3,174.54/x
  3. Step 3: Cross multiply
    8,103.78x = 12,155.04 × 3,174.54
  4. Step 4: Simplify right side
    8,103.78x = 38,586,660.68
  5. Step 5: Solve for x
    x = 38,586,660.68/8,103.78
  6. Step 6: Final answer
    x = 4,761.56

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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.