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Finding the Fourth Proportional to 3,984, 5,499.36 and 2,745.60

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Solution

The fourth proportional to 3,984, 5,499.36 and 2,745.60 is: 3,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,499.36 = 2,745.60 : x
  2. Step 2: Convert to fraction form
    3,984/5,499.36 = 2,745.60/x
  3. Step 3: Cross multiply
    3,984x = 5,499.36 × 2,745.60
  4. Step 4: Simplify right side
    3,984x = 15,099,042.82
  5. Step 5: Solve for x
    x = 15,099,042.82/3,984
  6. Step 6: Final answer
    x = 3,789.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.