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Finding the Fourth Proportional to 2,202.82, 3,039.92 and 1,208.10

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Solution

The fourth proportional to 2,202.82, 3,039.92 and 1,208.10 is: 1,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.82 : 3,039.92 = 1,208.10 : x
  2. Step 2: Convert to fraction form
    2,202.82/3,039.92 = 1,208.10/x
  3. Step 3: Cross multiply
    2,202.82x = 3,039.92 × 1,208.10
  4. Step 4: Simplify right side
    2,202.82x = 3,672,527.35
  5. Step 5: Solve for x
    x = 3,672,527.35/2,202.82
  6. Step 6: Final answer
    x = 1,667.19

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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.