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Finding the Fourth Proportional to 6,801.44, 10,202.15 and 2,121.82

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Solution

The fourth proportional to 6,801.44, 10,202.15 and 2,121.82 is: 3,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.44 : 10,202.15 = 2,121.82 : x
  2. Step 2: Convert to fraction form
    6,801.44/10,202.15 = 2,121.82/x
  3. Step 3: Cross multiply
    6,801.44x = 10,202.15 × 2,121.82
  4. Step 4: Simplify right side
    6,801.44x = 21,647,125.91
  5. Step 5: Solve for x
    x = 21,647,125.91/6,801.44
  6. Step 6: Final answer
    x = 3,182.73

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1.5x scale

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.