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Finding the Fourth Proportional to 12,367.66, 18,546.93 and 8,668

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Solution

The fourth proportional to 12,367.66, 18,546.93 and 8,668 is: 12,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.66 : 18,546.93 = 8,668 : x
  2. Step 2: Convert to fraction form
    12,367.66/18,546.93 = 8,668/x
  3. Step 3: Cross multiply
    12,367.66x = 18,546.93 × 8,668
  4. Step 4: Simplify right side
    12,367.66x = 160,764,789.24
  5. Step 5: Solve for x
    x = 160,764,789.24/12,367.66
  6. Step 6: Final answer
    x = 12,998.80

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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.