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Finding the Fourth Proportional to 12,194.56, 16,823.39 and 8,208.75

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Solution

The fourth proportional to 12,194.56, 16,823.39 and 8,208.75 is: 11,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.56 : 16,823.39 = 8,208.75 : x
  2. Step 2: Convert to fraction form
    12,194.56/16,823.39 = 8,208.75/x
  3. Step 3: Cross multiply
    12,194.56x = 16,823.39 × 8,208.75
  4. Step 4: Simplify right side
    12,194.56x = 138,099,002.66
  5. Step 5: Solve for x
    x = 138,099,002.66/12,194.56
  6. Step 6: Final answer
    x = 11,324.64

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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.