Home / 3,828.64-5,742.96-1,231.78

Finding the Fourth Proportional to 3,828.64, 5,742.96 and 1,231.78

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Solution

The fourth proportional to 3,828.64, 5,742.96 and 1,231.78 is: 1,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.64 : 5,742.96 = 1,231.78 : x
  2. Step 2: Convert to fraction form
    3,828.64/5,742.96 = 1,231.78/x
  3. Step 3: Cross multiply
    3,828.64x = 5,742.96 × 1,231.78
  4. Step 4: Simplify right side
    3,828.64x = 7,074,063.27
  5. Step 5: Solve for x
    x = 7,074,063.27/3,828.64
  6. Step 6: Final answer
    x = 1,847.67

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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.