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Finding the Fourth Proportional to 2,108.43, 3,161.84 and 721.31

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Solution

The fourth proportional to 2,108.43, 3,161.84 and 721.31 is: 1,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.43 : 3,161.84 = 721.31 : x
  2. Step 2: Convert to fraction form
    2,108.43/3,161.84 = 721.31/x
  3. Step 3: Cross multiply
    2,108.43x = 3,161.84 × 721.31
  4. Step 4: Simplify right side
    2,108.43x = 2,280,647.39
  5. Step 5: Solve for x
    x = 2,280,647.39/2,108.43
  6. Step 6: Final answer
    x = 1,081.68

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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.