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Finding the Fourth Proportional to 8,169.30, 12,258 and 3,238.83

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Solution

The fourth proportional to 8,169.30, 12,258 and 3,238.83 is: 4,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.30 : 12,258 = 3,238.83 : x
  2. Step 2: Convert to fraction form
    8,169.30/12,258 = 3,238.83/x
  3. Step 3: Cross multiply
    8,169.30x = 12,258 × 3,238.83
  4. Step 4: Simplify right side
    8,169.30x = 39,701,578.14
  5. Step 5: Solve for x
    x = 39,701,578.14/8,169.30
  6. Step 6: Final answer
    x = 4,859.85

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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.