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Finding the Fourth Proportional to 18,530, 27,771.96 and 8,131.28

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Solution

The fourth proportional to 18,530, 27,771.96 and 8,131.28 is: 12,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530 : 27,771.96 = 8,131.28 : x
  2. Step 2: Convert to fraction form
    18,530/27,771.96 = 8,131.28/x
  3. Step 3: Cross multiply
    18,530x = 27,771.96 × 8,131.28
  4. Step 4: Simplify right side
    18,530x = 225,821,582.91
  5. Step 5: Solve for x
    x = 225,821,582.91/18,530
  6. Step 6: Final answer
    x = 12,186.81

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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.