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Finding the Fourth Proportional to 2,949.97, 4,425.20 and 758.69

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Solution

The fourth proportional to 2,949.97, 4,425.20 and 758.69 is: 1,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.97 : 4,425.20 = 758.69 : x
  2. Step 2: Convert to fraction form
    2,949.97/4,425.20 = 758.69/x
  3. Step 3: Cross multiply
    2,949.97x = 4,425.20 × 758.69
  4. Step 4: Simplify right side
    2,949.97x = 3,357,351.19
  5. Step 5: Solve for x
    x = 3,357,351.19/2,949.97
  6. Step 6: Final answer
    x = 1,138.10

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1.5x scale

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.