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Finding the Fourth Proportional to 3,797.84, 5,689.46 and 2,149.49

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Solution

The fourth proportional to 3,797.84, 5,689.46 and 2,149.49 is: 3,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.84 : 5,689.46 = 2,149.49 : x
  2. Step 2: Convert to fraction form
    3,797.84/5,689.46 = 2,149.49/x
  3. Step 3: Cross multiply
    3,797.84x = 5,689.46 × 2,149.49
  4. Step 4: Simplify right side
    3,797.84x = 12,229,398.18
  5. Step 5: Solve for x
    x = 12,229,398.18/3,797.84
  6. Step 6: Final answer
    x = 3,220.10

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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.