Home / 2,198.52-3,034.30-1,413.40

Finding the Fourth Proportional to 2,198.52, 3,034.30 and 1,413.40

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Solution

The fourth proportional to 2,198.52, 3,034.30 and 1,413.40 is: 1,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.52 : 3,034.30 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    2,198.52/3,034.30 = 1,413.40/x
  3. Step 3: Cross multiply
    2,198.52x = 3,034.30 × 1,413.40
  4. Step 4: Simplify right side
    2,198.52x = 4,288,679.62
  5. Step 5: Solve for x
    x = 4,288,679.62/2,198.52
  6. Step 6: Final answer
    x = 1,950.71

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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.