Home / 3,830-5,286.04-2,896.88

Finding the Fourth Proportional to 3,830, 5,286.04 and 2,896.88

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Solution

The fourth proportional to 3,830, 5,286.04 and 2,896.88 is: 3,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 5,286.04 = 2,896.88 : x
  2. Step 2: Convert to fraction form
    3,830/5,286.04 = 2,896.88/x
  3. Step 3: Cross multiply
    3,830x = 5,286.04 × 2,896.88
  4. Step 4: Simplify right side
    3,830x = 15,313,023.56
  5. Step 5: Solve for x
    x = 15,313,023.56/3,830
  6. Step 6: Final answer
    x = 3,998.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.