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Finding the Fourth Proportional to 5,231.61, 7,836.46 and 3,825.11

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Solution

The fourth proportional to 5,231.61, 7,836.46 and 3,825.11 is: 5,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.61 : 7,836.46 = 3,825.11 : x
  2. Step 2: Convert to fraction form
    5,231.61/7,836.46 = 3,825.11/x
  3. Step 3: Cross multiply
    5,231.61x = 7,836.46 × 3,825.11
  4. Step 4: Simplify right side
    5,231.61x = 29,975,321.51
  5. Step 5: Solve for x
    x = 29,975,321.51/5,231.61
  6. Step 6: Final answer
    x = 5,729.66

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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.