Home / 3,414.86-5,122.13-1,413.31

Finding the Fourth Proportional to 3,414.86, 5,122.13 and 1,413.31

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Solution

The fourth proportional to 3,414.86, 5,122.13 and 1,413.31 is: 2,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.86 : 5,122.13 = 1,413.31 : x
  2. Step 2: Convert to fraction form
    3,414.86/5,122.13 = 1,413.31/x
  3. Step 3: Cross multiply
    3,414.86x = 5,122.13 × 1,413.31
  4. Step 4: Simplify right side
    3,414.86x = 7,239,131.94
  5. Step 5: Solve for x
    x = 7,239,131.94/3,414.86
  6. Step 6: Final answer
    x = 2,119.89

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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.