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Finding the Fourth Proportional to 3,768.96, 5,647.96 and 3,305.60

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Solution

The fourth proportional to 3,768.96, 5,647.96 and 3,305.60 is: 4,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.96 : 5,647.96 = 3,305.60 : x
  2. Step 2: Convert to fraction form
    3,768.96/5,647.96 = 3,305.60/x
  3. Step 3: Cross multiply
    3,768.96x = 5,647.96 × 3,305.60
  4. Step 4: Simplify right side
    3,768.96x = 18,669,896.58
  5. Step 5: Solve for x
    x = 18,669,896.58/3,768.96
  6. Step 6: Final answer
    x = 4,953.59

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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.