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Finding the Fourth Proportional to 8,291.73, 12,441.24 and 2,745.87

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Solution

The fourth proportional to 8,291.73, 12,441.24 and 2,745.87 is: 4,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.73 : 12,441.24 = 2,745.87 : x
  2. Step 2: Convert to fraction form
    8,291.73/12,441.24 = 2,745.87/x
  3. Step 3: Cross multiply
    8,291.73x = 12,441.24 × 2,745.87
  4. Step 4: Simplify right side
    8,291.73x = 34,162,027.68
  5. Step 5: Solve for x
    x = 34,162,027.68/8,291.73
  6. Step 6: Final answer
    x = 4,120.01

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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.