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Finding the Fourth Proportional to 12,091.74, 16,687.80 and 8,121.12

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Solution

The fourth proportional to 12,091.74, 16,687.80 and 8,121.12 is: 11,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.74 : 16,687.80 = 8,121.12 : x
  2. Step 2: Convert to fraction form
    12,091.74/16,687.80 = 8,121.12/x
  3. Step 3: Cross multiply
    12,091.74x = 16,687.80 × 8,121.12
  4. Step 4: Simplify right side
    12,091.74x = 135,523,626.34
  5. Step 5: Solve for x
    x = 135,523,626.34/12,091.74
  6. Step 6: Final answer
    x = 11,207.95

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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.