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Finding the Fourth Proportional to 3,398.78, 4,689.90 and 1,982.72

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Solution

The fourth proportional to 3,398.78, 4,689.90 and 1,982.72 is: 2,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.78 : 4,689.90 = 1,982.72 : x
  2. Step 2: Convert to fraction form
    3,398.78/4,689.90 = 1,982.72/x
  3. Step 3: Cross multiply
    3,398.78x = 4,689.90 × 1,982.72
  4. Step 4: Simplify right side
    3,398.78x = 9,298,758.53
  5. Step 5: Solve for x
    x = 9,298,758.53/3,398.78
  6. Step 6: Final answer
    x = 2,735.91

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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.