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Finding the Fourth Proportional to 3,179.76, 4,769.76 and 871.26

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Solution

The fourth proportional to 3,179.76, 4,769.76 and 871.26 is: 1,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.76 : 4,769.76 = 871.26 : x
  2. Step 2: Convert to fraction form
    3,179.76/4,769.76 = 871.26/x
  3. Step 3: Cross multiply
    3,179.76x = 4,769.76 × 871.26
  4. Step 4: Simplify right side
    3,179.76x = 4,155,701.10
  5. Step 5: Solve for x
    x = 4,155,701.10/3,179.76
  6. Step 6: Final answer
    x = 1,306.92

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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.