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Finding the Fourth Proportional to 12,006.40, 17,993.40 and 6,728.44

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Solution

The fourth proportional to 12,006.40, 17,993.40 and 6,728.44 is: 10,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.40 : 17,993.40 = 6,728.44 : x
  2. Step 2: Convert to fraction form
    12,006.40/17,993.40 = 6,728.44/x
  3. Step 3: Cross multiply
    12,006.40x = 17,993.40 × 6,728.44
  4. Step 4: Simplify right side
    12,006.40x = 121,067,512.30
  5. Step 5: Solve for x
    x = 121,067,512.30/12,006.40
  6. Step 6: Final answer
    x = 10,083.58

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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.