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Finding the Fourth Proportional to 11,175.75, 16,765.38 and 3,778.47

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Solution

The fourth proportional to 11,175.75, 16,765.38 and 3,778.47 is: 5,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.75 : 16,765.38 = 3,778.47 : x
  2. Step 2: Convert to fraction form
    11,175.75/16,765.38 = 3,778.47/x
  3. Step 3: Cross multiply
    11,175.75x = 16,765.38 × 3,778.47
  4. Step 4: Simplify right side
    11,175.75x = 63,347,485.37
  5. Step 5: Solve for x
    x = 63,347,485.37/11,175.75
  6. Step 6: Final answer
    x = 5,668.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.