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Finding the Fourth Proportional to 6,728.10, 10,080.15 and 3,257.70

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Solution

The fourth proportional to 6,728.10, 10,080.15 and 3,257.70 is: 4,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.10 : 10,080.15 = 3,257.70 : x
  2. Step 2: Convert to fraction form
    6,728.10/10,080.15 = 3,257.70/x
  3. Step 3: Cross multiply
    6,728.10x = 10,080.15 × 3,257.70
  4. Step 4: Simplify right side
    6,728.10x = 32,838,104.66
  5. Step 5: Solve for x
    x = 32,838,104.66/6,728.10
  6. Step 6: Final answer
    x = 4,880.74

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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.