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Finding the Fourth Proportional to 3,198.34, 4,413.78 and 1,939.15

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Solution

The fourth proportional to 3,198.34, 4,413.78 and 1,939.15 is: 2,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.34 : 4,413.78 = 1,939.15 : x
  2. Step 2: Convert to fraction form
    3,198.34/4,413.78 = 1,939.15/x
  3. Step 3: Cross multiply
    3,198.34x = 4,413.78 × 1,939.15
  4. Step 4: Simplify right side
    3,198.34x = 8,558,981.49
  5. Step 5: Solve for x
    x = 8,558,981.49/3,198.34
  6. Step 6: Final answer
    x = 2,676.07

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1.5x scale

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.