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Finding the Fourth Proportional to 8,133.91, 12,205.87 and 3,751.71

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Solution

The fourth proportional to 8,133.91, 12,205.87 and 3,751.71 is: 5,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.91 : 12,205.87 = 3,751.71 : x
  2. Step 2: Convert to fraction form
    8,133.91/12,205.87 = 3,751.71/x
  3. Step 3: Cross multiply
    8,133.91x = 12,205.87 × 3,751.71
  4. Step 4: Simplify right side
    8,133.91x = 45,792,884.54
  5. Step 5: Solve for x
    x = 45,792,884.54/8,133.91
  6. Step 6: Final answer
    x = 5,629.87

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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.