Home / 2,738.05-4,107.33-763.81

Finding the Fourth Proportional to 2,738.05, 4,107.33 and 763.81

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Solution

The fourth proportional to 2,738.05, 4,107.33 and 763.81 is: 1,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.05 : 4,107.33 = 763.81 : x
  2. Step 2: Convert to fraction form
    2,738.05/4,107.33 = 763.81/x
  3. Step 3: Cross multiply
    2,738.05x = 4,107.33 × 763.81
  4. Step 4: Simplify right side
    2,738.05x = 3,137,209.46
  5. Step 5: Solve for x
    x = 3,137,209.46/2,738.05
  6. Step 6: Final answer
    x = 1,145.78

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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.