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Finding the Fourth Proportional to 3,398.66, 4,689.79 and 1,981.97

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Solution

The fourth proportional to 3,398.66, 4,689.79 and 1,981.97 is: 2,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.66 : 4,689.79 = 1,981.97 : x
  2. Step 2: Convert to fraction form
    3,398.66/4,689.79 = 1,981.97/x
  3. Step 3: Cross multiply
    3,398.66x = 4,689.79 × 1,981.97
  4. Step 4: Simplify right side
    3,398.66x = 9,295,023.09
  5. Step 5: Solve for x
    x = 9,295,023.09/3,398.66
  6. Step 6: Final answer
    x = 2,734.91

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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.