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Finding the Fourth Proportional to 12,125.12, 18,169.44 and 8,216

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Solution

The fourth proportional to 12,125.12, 18,169.44 and 8,216 is: 12,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.12 : 18,169.44 = 8,216 : x
  2. Step 2: Convert to fraction form
    12,125.12/18,169.44 = 8,216/x
  3. Step 3: Cross multiply
    12,125.12x = 18,169.44 × 8,216
  4. Step 4: Simplify right side
    12,125.12x = 149,280,119.04
  5. Step 5: Solve for x
    x = 149,280,119.04/12,125.12
  6. Step 6: Final answer
    x = 12,311.64

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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.