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Finding the Fourth Proportional to 2,243.96, 3,096.78 and 1,249.22

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Solution

The fourth proportional to 2,243.96, 3,096.78 and 1,249.22 is: 1,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.96 : 3,096.78 = 1,249.22 : x
  2. Step 2: Convert to fraction form
    2,243.96/3,096.78 = 1,249.22/x
  3. Step 3: Cross multiply
    2,243.96x = 3,096.78 × 1,249.22
  4. Step 4: Simplify right side
    2,243.96x = 3,868,567.25
  5. Step 5: Solve for x
    x = 3,868,567.25/2,243.96
  6. Step 6: Final answer
    x = 1,723.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.