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Finding the Fourth Proportional to 8,183.52, 12,272.40 and 2,988

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Solution

The fourth proportional to 8,183.52, 12,272.40 and 2,988 is: 4,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.52 : 12,272.40 = 2,988 : x
  2. Step 2: Convert to fraction form
    8,183.52/12,272.40 = 2,988/x
  3. Step 3: Cross multiply
    8,183.52x = 12,272.40 × 2,988
  4. Step 4: Simplify right side
    8,183.52x = 36,669,931.20
  5. Step 5: Solve for x
    x = 36,669,931.20/8,183.52
  6. Step 6: Final answer
    x = 4,480.95

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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.