Home / 3,828.32-5,742.74-1,231.10

Finding the Fourth Proportional to 3,828.32, 5,742.74 and 1,231.10

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Solution

The fourth proportional to 3,828.32, 5,742.74 and 1,231.10 is: 1,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.32 : 5,742.74 = 1,231.10 : x
  2. Step 2: Convert to fraction form
    3,828.32/5,742.74 = 1,231.10/x
  3. Step 3: Cross multiply
    3,828.32x = 5,742.74 × 1,231.10
  4. Step 4: Simplify right side
    3,828.32x = 7,069,887.21
  5. Step 5: Solve for x
    x = 7,069,887.21/3,828.32
  6. Step 6: Final answer
    x = 1,846.73

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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.