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Finding the Fourth Proportional to 2,543.79, 3,813.63 and 1,081.92

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Solution

The fourth proportional to 2,543.79, 3,813.63 and 1,081.92 is: 1,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.79 : 3,813.63 = 1,081.92 : x
  2. Step 2: Convert to fraction form
    2,543.79/3,813.63 = 1,081.92/x
  3. Step 3: Cross multiply
    2,543.79x = 3,813.63 × 1,081.92
  4. Step 4: Simplify right side
    2,543.79x = 4,126,042.57
  5. Step 5: Solve for x
    x = 4,126,042.57/2,543.79
  6. Step 6: Final answer
    x = 1,622.01

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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.