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Finding the Fourth Proportional to 2,780.92, 3,834.03 and 2,309.23

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Solution

The fourth proportional to 2,780.92, 3,834.03 and 2,309.23 is: 3,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.92 : 3,834.03 = 2,309.23 : x
  2. Step 2: Convert to fraction form
    2,780.92/3,834.03 = 2,309.23/x
  3. Step 3: Cross multiply
    2,780.92x = 3,834.03 × 2,309.23
  4. Step 4: Simplify right side
    2,780.92x = 8,853,657.10
  5. Step 5: Solve for x
    x = 8,853,657.10/2,780.92
  6. Step 6: Final answer
    x = 3,183.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.