Home / 3,828.56-5,744.21-1,882.13

Finding the Fourth Proportional to 3,828.56, 5,744.21 and 1,882.13

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Solution

The fourth proportional to 3,828.56, 5,744.21 and 1,882.13 is: 2,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.56 : 5,744.21 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    3,828.56/5,744.21 = 1,882.13/x
  3. Step 3: Cross multiply
    3,828.56x = 5,744.21 × 1,882.13
  4. Step 4: Simplify right side
    3,828.56x = 10,811,369.03
  5. Step 5: Solve for x
    x = 10,811,369.03/3,828.56
  6. Step 6: Final answer
    x = 2,823.87

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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.