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Finding the Fourth Proportional to 8,509.58, 12,766.42 and 4,121.92

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Solution

The fourth proportional to 8,509.58, 12,766.42 and 4,121.92 is: 6,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.58 : 12,766.42 = 4,121.92 : x
  2. Step 2: Convert to fraction form
    8,509.58/12,766.42 = 4,121.92/x
  3. Step 3: Cross multiply
    8,509.58x = 12,766.42 × 4,121.92
  4. Step 4: Simplify right side
    8,509.58x = 52,622,161.93
  5. Step 5: Solve for x
    x = 52,622,161.93/8,509.58
  6. Step 6: Final answer
    x = 6,183.87

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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.