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Finding the Fourth Proportional to 11,171.67, 16,755.67 and 3,775.96

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Solution

The fourth proportional to 11,171.67, 16,755.67 and 3,775.96 is: 5,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.67 : 16,755.67 = 3,775.96 : x
  2. Step 2: Convert to fraction form
    11,171.67/16,755.67 = 3,775.96/x
  3. Step 3: Cross multiply
    11,171.67x = 16,755.67 × 3,775.96
  4. Step 4: Simplify right side
    11,171.67x = 63,268,739.69
  5. Step 5: Solve for x
    x = 63,268,739.69/11,171.67
  6. Step 6: Final answer
    x = 5,663.32

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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.