Home / 6,816-9,405.39-3,831.83

Finding the Fourth Proportional to 6,816, 9,405.39 and 3,831.83

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Solution

The fourth proportional to 6,816, 9,405.39 and 3,831.83 is: 5,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 9,405.39 = 3,831.83 : x
  2. Step 2: Convert to fraction form
    6,816/9,405.39 = 3,831.83/x
  3. Step 3: Cross multiply
    6,816x = 9,405.39 × 3,831.83
  4. Step 4: Simplify right side
    6,816x = 36,039,855.56
  5. Step 5: Solve for x
    x = 36,039,855.56/6,816
  6. Step 6: Final answer
    x = 5,287.54

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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.