Home / 2,278.23-3,414.20-1,180.34

Finding the Fourth Proportional to 2,278.23, 3,414.20 and 1,180.34

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Solution

The fourth proportional to 2,278.23, 3,414.20 and 1,180.34 is: 1,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.23 : 3,414.20 = 1,180.34 : x
  2. Step 2: Convert to fraction form
    2,278.23/3,414.20 = 1,180.34/x
  3. Step 3: Cross multiply
    2,278.23x = 3,414.20 × 1,180.34
  4. Step 4: Simplify right side
    2,278.23x = 4,029,893.86
  5. Step 5: Solve for x
    x = 4,029,893.86/2,278.23
  6. Step 6: Final answer
    x = 1,768.87

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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.