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Finding the Fourth Proportional to 3,829.84, 5,745.72 and 1,232.72

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Solution

The fourth proportional to 3,829.84, 5,745.72 and 1,232.72 is: 1,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.84 : 5,745.72 = 1,232.72 : x
  2. Step 2: Convert to fraction form
    3,829.84/5,745.72 = 1,232.72/x
  3. Step 3: Cross multiply
    3,829.84x = 5,745.72 × 1,232.72
  4. Step 4: Simplify right side
    3,829.84x = 7,082,863.96
  5. Step 5: Solve for x
    x = 7,082,863.96/3,829.84
  6. Step 6: Final answer
    x = 1,849.39

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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.