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Finding the Fourth Proportional to 18,512.86, 27,769.32 and 6,200.86

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Solution

The fourth proportional to 18,512.86, 27,769.32 and 6,200.86 is: 9,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512.86 : 27,769.32 = 6,200.86 : x
  2. Step 2: Convert to fraction form
    18,512.86/27,769.32 = 6,200.86/x
  3. Step 3: Cross multiply
    18,512.86x = 27,769.32 × 6,200.86
  4. Step 4: Simplify right side
    18,512.86x = 172,193,665.62
  5. Step 5: Solve for x
    x = 172,193,665.62/18,512.86
  6. Step 6: Final answer
    x = 9,301.30

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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.