Home / 6,811.92-9,400.59-3,828.06

Finding the Fourth Proportional to 6,811.92, 9,400.59 and 3,828.06

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Solution

The fourth proportional to 6,811.92, 9,400.59 and 3,828.06 is: 5,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.92 : 9,400.59 = 3,828.06 : x
  2. Step 2: Convert to fraction form
    6,811.92/9,400.59 = 3,828.06/x
  3. Step 3: Cross multiply
    6,811.92x = 9,400.59 × 3,828.06
  4. Step 4: Simplify right side
    6,811.92x = 35,986,022.56
  5. Step 5: Solve for x
    x = 35,986,022.56/6,811.92
  6. Step 6: Final answer
    x = 5,282.80

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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.