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Finding the Fourth Proportional to 2,243.64, 3,096.09 and 1,249.01

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Solution

The fourth proportional to 2,243.64, 3,096.09 and 1,249.01 is: 1,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.64 : 3,096.09 = 1,249.01 : x
  2. Step 2: Convert to fraction form
    2,243.64/3,096.09 = 1,249.01/x
  3. Step 3: Cross multiply
    2,243.64x = 3,096.09 × 1,249.01
  4. Step 4: Simplify right side
    2,243.64x = 3,867,047.37
  5. Step 5: Solve for x
    x = 3,867,047.37/2,243.64
  6. Step 6: Final answer
    x = 1,723.56

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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.