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Finding the Fourth Proportional to 12,162.88, 18,237 and 8,255.44

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Solution

The fourth proportional to 12,162.88, 18,237 and 8,255.44 is: 12,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.88 : 18,237 = 8,255.44 : x
  2. Step 2: Convert to fraction form
    12,162.88/18,237 = 8,255.44/x
  3. Step 3: Cross multiply
    12,162.88x = 18,237 × 8,255.44
  4. Step 4: Simplify right side
    12,162.88x = 150,554,459.28
  5. Step 5: Solve for x
    x = 150,554,459.28/12,162.88
  6. Step 6: Final answer
    x = 12,378.19

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1.5x scale

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.