Home / 2,276.76-3,415.37-815.80

Finding the Fourth Proportional to 2,276.76, 3,415.37 and 815.80

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Solution

The fourth proportional to 2,276.76, 3,415.37 and 815.80 is: 1,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.76 : 3,415.37 = 815.80 : x
  2. Step 2: Convert to fraction form
    2,276.76/3,415.37 = 815.80/x
  3. Step 3: Cross multiply
    2,276.76x = 3,415.37 × 815.80
  4. Step 4: Simplify right side
    2,276.76x = 2,786,243.03
  5. Step 5: Solve for x
    x = 2,786,243.03/2,276.76
  6. Step 6: Final answer
    x = 1,223.78

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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.