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Finding the Fourth Proportional to 2,049.56, 3,072.72 and 816.92

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Solution

The fourth proportional to 2,049.56, 3,072.72 and 816.92 is: 1,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.56 : 3,072.72 = 816.92 : x
  2. Step 2: Convert to fraction form
    2,049.56/3,072.72 = 816.92/x
  3. Step 3: Cross multiply
    2,049.56x = 3,072.72 × 816.92
  4. Step 4: Simplify right side
    2,049.56x = 2,510,166.42
  5. Step 5: Solve for x
    x = 2,510,166.42/2,049.56
  6. Step 6: Final answer
    x = 1,224.73

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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.