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Finding the Fourth Proportional to 3,398.94, 4,689.08 and 1,982.52

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Solution

The fourth proportional to 3,398.94, 4,689.08 and 1,982.52 is: 2,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.94 : 4,689.08 = 1,982.52 : x
  2. Step 2: Convert to fraction form
    3,398.94/4,689.08 = 1,982.52/x
  3. Step 3: Cross multiply
    3,398.94x = 4,689.08 × 1,982.52
  4. Step 4: Simplify right side
    3,398.94x = 9,296,194.88
  5. Step 5: Solve for x
    x = 9,296,194.88/3,398.94
  6. Step 6: Final answer
    x = 2,735.03

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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.