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Finding the Fourth Proportional to 2,515.44, 3,771.69 and 759.92

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Solution

The fourth proportional to 2,515.44, 3,771.69 and 759.92 is: 1,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.44 : 3,771.69 = 759.92 : x
  2. Step 2: Convert to fraction form
    2,515.44/3,771.69 = 759.92/x
  3. Step 3: Cross multiply
    2,515.44x = 3,771.69 × 759.92
  4. Step 4: Simplify right side
    2,515.44x = 2,866,182.66
  5. Step 5: Solve for x
    x = 2,866,182.66/2,515.44
  6. Step 6: Final answer
    x = 1,139.44

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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.