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Finding the Fourth Proportional to 2,321.80, 3,481.72 and 677.97

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Solution

The fourth proportional to 2,321.80, 3,481.72 and 677.97 is: 1,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.80 : 3,481.72 = 677.97 : x
  2. Step 2: Convert to fraction form
    2,321.80/3,481.72 = 677.97/x
  3. Step 3: Cross multiply
    2,321.80x = 3,481.72 × 677.97
  4. Step 4: Simplify right side
    2,321.80x = 2,360,500.01
  5. Step 5: Solve for x
    x = 2,360,500.01/2,321.80
  6. Step 6: Final answer
    x = 1,016.67

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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.