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Finding the Fourth Proportional to 2,786.82, 4,180.32 and 1,325.22

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Solution

The fourth proportional to 2,786.82, 4,180.32 and 1,325.22 is: 1,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.82 : 4,180.32 = 1,325.22 : x
  2. Step 2: Convert to fraction form
    2,786.82/4,180.32 = 1,325.22/x
  3. Step 3: Cross multiply
    2,786.82x = 4,180.32 × 1,325.22
  4. Step 4: Simplify right side
    2,786.82x = 5,539,843.67
  5. Step 5: Solve for x
    x = 5,539,843.67/2,786.82
  6. Step 6: Final answer
    x = 1,987.87

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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.