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Finding the Fourth Proportional to 2,758.22, 3,782 and 2,676.22

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Solution

The fourth proportional to 2,758.22, 3,782 and 2,676.22 is: 3,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.22 : 3,782 = 2,676.22 : x
  2. Step 2: Convert to fraction form
    2,758.22/3,782 = 2,676.22/x
  3. Step 3: Cross multiply
    2,758.22x = 3,782 × 2,676.22
  4. Step 4: Simplify right side
    2,758.22x = 10,121,464.04
  5. Step 5: Solve for x
    x = 10,121,464.04/2,758.22
  6. Step 6: Final answer
    x = 3,669.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.