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Finding the Fourth Proportional to 2,049.10, 3,072.90 and 662.80

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Solution

The fourth proportional to 2,049.10, 3,072.90 and 662.80 is: 993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.10 : 3,072.90 = 662.80 : x
  2. Step 2: Convert to fraction form
    2,049.10/3,072.90 = 662.80/x
  3. Step 3: Cross multiply
    2,049.10x = 3,072.90 × 662.80
  4. Step 4: Simplify right side
    2,049.10x = 2,036,718.12
  5. Step 5: Solve for x
    x = 2,036,718.12/2,049.10
  6. Step 6: Final answer
    x = 993.96

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Why These Related Problems?

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