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Finding the Fourth Proportional to 3,836.22, 5,753.97 and 1,239.18

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Solution

The fourth proportional to 3,836.22, 5,753.97 and 1,239.18 is: 1,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.22 : 5,753.97 = 1,239.18 : x
  2. Step 2: Convert to fraction form
    3,836.22/5,753.97 = 1,239.18/x
  3. Step 3: Cross multiply
    3,836.22x = 5,753.97 × 1,239.18
  4. Step 4: Simplify right side
    3,836.22x = 7,130,204.54
  5. Step 5: Solve for x
    x = 7,130,204.54/3,836.22
  6. Step 6: Final answer
    x = 1,858.65

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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.