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Finding the Fourth Proportional to 2,709.96, 4,060.38 and 1,323.96

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Solution

The fourth proportional to 2,709.96, 4,060.38 and 1,323.96 is: 1,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.96 : 4,060.38 = 1,323.96 : x
  2. Step 2: Convert to fraction form
    2,709.96/4,060.38 = 1,323.96/x
  3. Step 3: Cross multiply
    2,709.96x = 4,060.38 × 1,323.96
  4. Step 4: Simplify right side
    2,709.96x = 5,375,780.70
  5. Step 5: Solve for x
    x = 5,375,780.70/2,709.96
  6. Step 6: Final answer
    x = 1,983.71

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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.