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Finding the Fourth Proportional to 12,149, 16,775.74 and 8,183.24

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Solution

The fourth proportional to 12,149, 16,775.74 and 8,183.24 is: 11,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149 : 16,775.74 = 8,183.24 : x
  2. Step 2: Convert to fraction form
    12,149/16,775.74 = 8,183.24/x
  3. Step 3: Cross multiply
    12,149x = 16,775.74 × 8,183.24
  4. Step 4: Simplify right side
    12,149x = 137,279,906.60
  5. Step 5: Solve for x
    x = 137,279,906.60/12,149
  6. Step 6: Final answer
    x = 11,299.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.