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Finding the Fourth Proportional to 2,617.82, 3,926.39 and 2,181.80

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Solution

The fourth proportional to 2,617.82, 3,926.39 and 2,181.80 is: 3,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.82 : 3,926.39 = 2,181.80 : x
  2. Step 2: Convert to fraction form
    2,617.82/3,926.39 = 2,181.80/x
  3. Step 3: Cross multiply
    2,617.82x = 3,926.39 × 2,181.80
  4. Step 4: Simplify right side
    2,617.82x = 8,566,567.16
  5. Step 5: Solve for x
    x = 8,566,567.16/2,617.82
  6. Step 6: Final answer
    x = 3,272.41

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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.