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Finding the Fourth Proportional to 2,212.02, 3,318.43 and 912.78

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Solution

The fourth proportional to 2,212.02, 3,318.43 and 912.78 is: 1,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.02 : 3,318.43 = 912.78 : x
  2. Step 2: Convert to fraction form
    2,212.02/3,318.43 = 912.78/x
  3. Step 3: Cross multiply
    2,212.02x = 3,318.43 × 912.78
  4. Step 4: Simplify right side
    2,212.02x = 3,028,996.54
  5. Step 5: Solve for x
    x = 3,028,996.54/2,212.02
  6. Step 6: Final answer
    x = 1,369.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.