Home / 2,413.70-3,621.78-1,828.47

Finding the Fourth Proportional to 2,413.70, 3,621.78 and 1,828.47

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Solution

The fourth proportional to 2,413.70, 3,621.78 and 1,828.47 is: 2,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.70 : 3,621.78 = 1,828.47 : x
  2. Step 2: Convert to fraction form
    2,413.70/3,621.78 = 1,828.47/x
  3. Step 3: Cross multiply
    2,413.70x = 3,621.78 × 1,828.47
  4. Step 4: Simplify right side
    2,413.70x = 6,622,329.66
  5. Step 5: Solve for x
    x = 6,622,329.66/2,413.70
  6. Step 6: Final answer
    x = 2,743.64

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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.