Home / 3,828-5,742.81-1,231.14

Finding the Fourth Proportional to 3,828, 5,742.81 and 1,231.14

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Solution

The fourth proportional to 3,828, 5,742.81 and 1,231.14 is: 1,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,742.81 = 1,231.14 : x
  2. Step 2: Convert to fraction form
    3,828/5,742.81 = 1,231.14/x
  3. Step 3: Cross multiply
    3,828x = 5,742.81 × 1,231.14
  4. Step 4: Simplify right side
    3,828x = 7,070,203.10
  5. Step 5: Solve for x
    x = 7,070,203.10/3,828
  6. Step 6: Final answer
    x = 1,846.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.