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Finding the Fourth Proportional to 3,388, 5,091.12 and 3,166.56

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Solution

The fourth proportional to 3,388, 5,091.12 and 3,166.56 is: 4,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388 : 5,091.12 = 3,166.56 : x
  2. Step 2: Convert to fraction form
    3,388/5,091.12 = 3,166.56/x
  3. Step 3: Cross multiply
    3,388x = 5,091.12 × 3,166.56
  4. Step 4: Simplify right side
    3,388x = 16,121,336.95
  5. Step 5: Solve for x
    x = 16,121,336.95/3,388
  6. Step 6: Final answer
    x = 4,758.36

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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.