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Finding the Fourth Proportional to 8,183.34, 12,272.58 and 2,988

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Solution

The fourth proportional to 8,183.34, 12,272.58 and 2,988 is: 4,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.34 : 12,272.58 = 2,988 : x
  2. Step 2: Convert to fraction form
    8,183.34/12,272.58 = 2,988/x
  3. Step 3: Cross multiply
    8,183.34x = 12,272.58 × 2,988
  4. Step 4: Simplify right side
    8,183.34x = 36,670,469.04
  5. Step 5: Solve for x
    x = 36,670,469.04/8,183.34
  6. Step 6: Final answer
    x = 4,481.11

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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.