Home / 2,272.94-3,409.34-811.97

Finding the Fourth Proportional to 2,272.94, 3,409.34 and 811.97

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Solution

The fourth proportional to 2,272.94, 3,409.34 and 811.97 is: 1,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.94 : 3,409.34 = 811.97 : x
  2. Step 2: Convert to fraction form
    2,272.94/3,409.34 = 811.97/x
  3. Step 3: Cross multiply
    2,272.94x = 3,409.34 × 811.97
  4. Step 4: Simplify right side
    2,272.94x = 2,768,260.69
  5. Step 5: Solve for x
    x = 2,768,260.69/2,272.94
  6. Step 6: Final answer
    x = 1,217.92

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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.