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Finding the Fourth Proportional to 12,096.15, 18,142.84 and 4,197.21

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Solution

The fourth proportional to 12,096.15, 18,142.84 and 4,197.21 is: 6,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.15 : 18,142.84 = 4,197.21 : x
  2. Step 2: Convert to fraction form
    12,096.15/18,142.84 = 4,197.21/x
  3. Step 3: Cross multiply
    12,096.15x = 18,142.84 × 4,197.21
  4. Step 4: Simplify right side
    12,096.15x = 76,149,309.48
  5. Step 5: Solve for x
    x = 76,149,309.48/12,096.15
  6. Step 6: Final answer
    x = 6,295.33

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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.