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Finding the Fourth Proportional to 2,238.13, 3,089.03 and 1,293.82

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Solution

The fourth proportional to 2,238.13, 3,089.03 and 1,293.82 is: 1,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.13 : 3,089.03 = 1,293.82 : x
  2. Step 2: Convert to fraction form
    2,238.13/3,089.03 = 1,293.82/x
  3. Step 3: Cross multiply
    2,238.13x = 3,089.03 × 1,293.82
  4. Step 4: Simplify right side
    2,238.13x = 3,996,645.56
  5. Step 5: Solve for x
    x = 3,996,645.56/2,238.13
  6. Step 6: Final answer
    x = 1,785.71

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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.