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Finding the Fourth Proportional to 2,232.96, 3,081.50 and 1,238.24

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Solution

The fourth proportional to 2,232.96, 3,081.50 and 1,238.24 is: 1,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.96 : 3,081.50 = 1,238.24 : x
  2. Step 2: Convert to fraction form
    2,232.96/3,081.50 = 1,238.24/x
  3. Step 3: Cross multiply
    2,232.96x = 3,081.50 × 1,238.24
  4. Step 4: Simplify right side
    2,232.96x = 3,815,636.56
  5. Step 5: Solve for x
    x = 3,815,636.56/2,232.96
  6. Step 6: Final answer
    x = 1,708.78

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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.