Home / 5,413.42-8,120.13-1,309.42

Finding the Fourth Proportional to 5,413.42, 8,120.13 and 1,309.42

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Solution

The fourth proportional to 5,413.42, 8,120.13 and 1,309.42 is: 1,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.42 : 8,120.13 = 1,309.42 : x
  2. Step 2: Convert to fraction form
    5,413.42/8,120.13 = 1,309.42/x
  3. Step 3: Cross multiply
    5,413.42x = 8,120.13 × 1,309.42
  4. Step 4: Simplify right side
    5,413.42x = 10,632,660.62
  5. Step 5: Solve for x
    x = 10,632,660.62/5,413.42
  6. Step 6: Final answer
    x = 1,964.13

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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.