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Finding the Fourth Proportional to 2,512.14, 3,767.85 and 757.14

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Solution

The fourth proportional to 2,512.14, 3,767.85 and 757.14 is: 1,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.14 : 3,767.85 = 757.14 : x
  2. Step 2: Convert to fraction form
    2,512.14/3,767.85 = 757.14/x
  3. Step 3: Cross multiply
    2,512.14x = 3,767.85 × 757.14
  4. Step 4: Simplify right side
    2,512.14x = 2,852,789.95
  5. Step 5: Solve for x
    x = 2,852,789.95/2,512.14
  6. Step 6: Final answer
    x = 1,135.60

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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.