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Finding the Fourth Proportional to 12,212.64, 18,321.12 and 3,894.48

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Solution

The fourth proportional to 12,212.64, 18,321.12 and 3,894.48 is: 5,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.64 : 18,321.12 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    12,212.64/18,321.12 = 3,894.48/x
  3. Step 3: Cross multiply
    12,212.64x = 18,321.12 × 3,894.48
  4. Step 4: Simplify right side
    12,212.64x = 71,351,235.42
  5. Step 5: Solve for x
    x = 71,351,235.42/12,212.64
  6. Step 6: Final answer
    x = 5,842.41

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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.