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Finding the Fourth Proportional to 8,251.62, 12,377.84 and 2,702.72

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Solution

The fourth proportional to 8,251.62, 12,377.84 and 2,702.72 is: 4,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.62 : 12,377.84 = 2,702.72 : x
  2. Step 2: Convert to fraction form
    8,251.62/12,377.84 = 2,702.72/x
  3. Step 3: Cross multiply
    8,251.62x = 12,377.84 × 2,702.72
  4. Step 4: Simplify right side
    8,251.62x = 33,453,760.32
  5. Step 5: Solve for x
    x = 33,453,760.32/8,251.62
  6. Step 6: Final answer
    x = 4,054.21

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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.