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Finding the Fourth Proportional to 2,543.81, 3,811.76 and 2,151.97

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Solution

The fourth proportional to 2,543.81, 3,811.76 and 2,151.97 is: 3,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.81 : 3,811.76 = 2,151.97 : x
  2. Step 2: Convert to fraction form
    2,543.81/3,811.76 = 2,151.97/x
  3. Step 3: Cross multiply
    2,543.81x = 3,811.76 × 2,151.97
  4. Step 4: Simplify right side
    2,543.81x = 8,202,780.95
  5. Step 5: Solve for x
    x = 8,202,780.95/2,543.81
  6. Step 6: Final answer
    x = 3,224.61

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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.