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Finding the Fourth Proportional to 3,828.65, 5,743.11 and 1,231.25

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Solution

The fourth proportional to 3,828.65, 5,743.11 and 1,231.25 is: 1,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.65 : 5,743.11 = 1,231.25 : x
  2. Step 2: Convert to fraction form
    3,828.65/5,743.11 = 1,231.25/x
  3. Step 3: Cross multiply
    3,828.65x = 5,743.11 × 1,231.25
  4. Step 4: Simplify right side
    3,828.65x = 7,071,204.19
  5. Step 5: Solve for x
    x = 7,071,204.19/3,828.65
  6. Step 6: Final answer
    x = 1,846.92

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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.