Home / 2,272.68-3,409.47-811.79

Finding the Fourth Proportional to 2,272.68, 3,409.47 and 811.79

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Solution

The fourth proportional to 2,272.68, 3,409.47 and 811.79 is: 1,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.68 : 3,409.47 = 811.79 : x
  2. Step 2: Convert to fraction form
    2,272.68/3,409.47 = 811.79/x
  3. Step 3: Cross multiply
    2,272.68x = 3,409.47 × 811.79
  4. Step 4: Simplify right side
    2,272.68x = 2,767,773.65
  5. Step 5: Solve for x
    x = 2,767,773.65/2,272.68
  6. Step 6: Final answer
    x = 1,217.85

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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.