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Finding the Fourth Proportional to 3,179.86, 4,769.06 and 1,127.86

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Solution

The fourth proportional to 3,179.86, 4,769.06 and 1,127.86 is: 1,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.86 : 4,769.06 = 1,127.86 : x
  2. Step 2: Convert to fraction form
    3,179.86/4,769.06 = 1,127.86/x
  3. Step 3: Cross multiply
    3,179.86x = 4,769.06 × 1,127.86
  4. Step 4: Simplify right side
    3,179.86x = 5,378,832.01
  5. Step 5: Solve for x
    x = 5,378,832.01/3,179.86
  6. Step 6: Final answer
    x = 1,691.53

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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.