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Finding the Fourth Proportional to 2,238.75, 3,089.43 and 1,244

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Solution

The fourth proportional to 2,238.75, 3,089.43 and 1,244 is: 1,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.75 : 3,089.43 = 1,244 : x
  2. Step 2: Convert to fraction form
    2,238.75/3,089.43 = 1,244/x
  3. Step 3: Cross multiply
    2,238.75x = 3,089.43 × 1,244
  4. Step 4: Simplify right side
    2,238.75x = 3,843,250.92
  5. Step 5: Solve for x
    x = 3,843,250.92/2,238.75
  6. Step 6: Final answer
    x = 1,716.69

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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.