Home / 2,738.75-4,109.78-1,278

Finding the Fourth Proportional to 2,738.75, 4,109.78 and 1,278

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Solution

The fourth proportional to 2,738.75, 4,109.78 and 1,278 is: 1,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.75 : 4,109.78 = 1,278 : x
  2. Step 2: Convert to fraction form
    2,738.75/4,109.78 = 1,278/x
  3. Step 3: Cross multiply
    2,738.75x = 4,109.78 × 1,278
  4. Step 4: Simplify right side
    2,738.75x = 5,252,302.04
  5. Step 5: Solve for x
    x = 5,252,302.04/2,738.75
  6. Step 6: Final answer
    x = 1,917.78

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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.