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Finding the Fourth Proportional to 12,274.12, 18,413.48 and 6,724.41

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Solution

The fourth proportional to 12,274.12, 18,413.48 and 6,724.41 is: 10,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.12 : 18,413.48 = 6,724.41 : x
  2. Step 2: Convert to fraction form
    12,274.12/18,413.48 = 6,724.41/x
  3. Step 3: Cross multiply
    12,274.12x = 18,413.48 × 6,724.41
  4. Step 4: Simplify right side
    12,274.12x = 123,819,789.05
  5. Step 5: Solve for x
    x = 123,819,789.05/12,274.12
  6. Step 6: Final answer
    x = 10,087.88

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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.