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Finding the Fourth Proportional to 2,489.39, 3,734.08 and 758.03

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Solution

The fourth proportional to 2,489.39, 3,734.08 and 758.03 is: 1,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.39 : 3,734.08 = 758.03 : x
  2. Step 2: Convert to fraction form
    2,489.39/3,734.08 = 758.03/x
  3. Step 3: Cross multiply
    2,489.39x = 3,734.08 × 758.03
  4. Step 4: Simplify right side
    2,489.39x = 2,830,524.10
  5. Step 5: Solve for x
    x = 2,830,524.10/2,489.39
  6. Step 6: Final answer
    x = 1,137.04

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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.