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Finding the Fourth Proportional to 6,702.88, 9,251.28 and 3,872.08

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Solution

The fourth proportional to 6,702.88, 9,251.28 and 3,872.08 is: 5,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.88 : 9,251.28 = 3,872.08 : x
  2. Step 2: Convert to fraction form
    6,702.88/9,251.28 = 3,872.08/x
  3. Step 3: Cross multiply
    6,702.88x = 9,251.28 × 3,872.08
  4. Step 4: Simplify right side
    6,702.88x = 35,821,630.65
  5. Step 5: Solve for x
    x = 35,821,630.65/6,702.88
  6. Step 6: Final answer
    x = 5,344.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.