Home / 2,413.26-3,620.16-769.42

Finding the Fourth Proportional to 2,413.26, 3,620.16 and 769.42

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Solution

The fourth proportional to 2,413.26, 3,620.16 and 769.42 is: 1,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.26 : 3,620.16 = 769.42 : x
  2. Step 2: Convert to fraction form
    2,413.26/3,620.16 = 769.42/x
  3. Step 3: Cross multiply
    2,413.26x = 3,620.16 × 769.42
  4. Step 4: Simplify right side
    2,413.26x = 2,785,423.51
  5. Step 5: Solve for x
    x = 2,785,423.51/2,413.26
  6. Step 6: Final answer
    x = 1,154.22

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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.