Home / 2,276.09-3,414.13-815.36

Finding the Fourth Proportional to 2,276.09, 3,414.13 and 815.36

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Solution

The fourth proportional to 2,276.09, 3,414.13 and 815.36 is: 1,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.09 : 3,414.13 = 815.36 : x
  2. Step 2: Convert to fraction form
    2,276.09/3,414.13 = 815.36/x
  3. Step 3: Cross multiply
    2,276.09x = 3,414.13 × 815.36
  4. Step 4: Simplify right side
    2,276.09x = 2,783,727.97
  5. Step 5: Solve for x
    x = 2,783,727.97/2,276.09
  6. Step 6: Final answer
    x = 1,223.03

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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.