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Finding the Fourth Proportional to 2,765.20, 4,147.75 and 685.21

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Solution

The fourth proportional to 2,765.20, 4,147.75 and 685.21 is: 1,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.20 : 4,147.75 = 685.21 : x
  2. Step 2: Convert to fraction form
    2,765.20/4,147.75 = 685.21/x
  3. Step 3: Cross multiply
    2,765.20x = 4,147.75 × 685.21
  4. Step 4: Simplify right side
    2,765.20x = 2,842,067.70
  5. Step 5: Solve for x
    x = 2,842,067.70/2,765.20
  6. Step 6: Final answer
    x = 1,027.80

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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.