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Finding the Fourth Proportional to 3,840.96, 5,728.56 and 3,288

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Solution

The fourth proportional to 3,840.96, 5,728.56 and 3,288 is: 4,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.96 : 5,728.56 = 3,288 : x
  2. Step 2: Convert to fraction form
    3,840.96/5,728.56 = 3,288/x
  3. Step 3: Cross multiply
    3,840.96x = 5,728.56 × 3,288
  4. Step 4: Simplify right side
    3,840.96x = 18,835,505.28
  5. Step 5: Solve for x
    x = 18,835,505.28/3,840.96
  6. Step 6: Final answer
    x = 4,903.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.