Home / 2,276.60-3,414.90-815.23

Finding the Fourth Proportional to 2,276.60, 3,414.90 and 815.23

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Solution

The fourth proportional to 2,276.60, 3,414.90 and 815.23 is: 1,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.60 : 3,414.90 = 815.23 : x
  2. Step 2: Convert to fraction form
    2,276.60/3,414.90 = 815.23/x
  3. Step 3: Cross multiply
    2,276.60x = 3,414.90 × 815.23
  4. Step 4: Simplify right side
    2,276.60x = 2,783,928.93
  5. Step 5: Solve for x
    x = 2,783,928.93/2,276.60
  6. Step 6: Final answer
    x = 1,222.85

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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.