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Finding the Fourth Proportional to 3,896.88, 5,848.20 and 2,790.96

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Solution

The fourth proportional to 3,896.88, 5,848.20 and 2,790.96 is: 4,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.88 : 5,848.20 = 2,790.96 : x
  2. Step 2: Convert to fraction form
    3,896.88/5,848.20 = 2,790.96/x
  3. Step 3: Cross multiply
    3,896.88x = 5,848.20 × 2,790.96
  4. Step 4: Simplify right side
    3,896.88x = 16,322,092.27
  5. Step 5: Solve for x
    x = 16,322,092.27/3,896.88
  6. Step 6: Final answer
    x = 4,188.50

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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.