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Finding the Fourth Proportional to 11,161.78, 16,742.22 and 3,766.08

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Solution

The fourth proportional to 11,161.78, 16,742.22 and 3,766.08 is: 5,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.78 : 16,742.22 = 3,766.08 : x
  2. Step 2: Convert to fraction form
    11,161.78/16,742.22 = 3,766.08/x
  3. Step 3: Cross multiply
    11,161.78x = 16,742.22 × 3,766.08
  4. Step 4: Simplify right side
    11,161.78x = 63,052,539.90
  5. Step 5: Solve for x
    x = 63,052,539.90/11,161.78
  6. Step 6: Final answer
    x = 5,648.97

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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.