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Finding the Fourth Proportional to 2,489.62, 3,734.03 and 757.84

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Solution

The fourth proportional to 2,489.62, 3,734.03 and 757.84 is: 1,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.62 : 3,734.03 = 757.84 : x
  2. Step 2: Convert to fraction form
    2,489.62/3,734.03 = 757.84/x
  3. Step 3: Cross multiply
    2,489.62x = 3,734.03 × 757.84
  4. Step 4: Simplify right side
    2,489.62x = 2,829,797.30
  5. Step 5: Solve for x
    x = 2,829,797.30/2,489.62
  6. Step 6: Final answer
    x = 1,136.64

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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.