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Finding the Fourth Proportional to 11,872.14, 16,397 and 8,088.74

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Solution

The fourth proportional to 11,872.14, 16,397 and 8,088.74 is: 11,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.14 : 16,397 = 8,088.74 : x
  2. Step 2: Convert to fraction form
    11,872.14/16,397 = 8,088.74/x
  3. Step 3: Cross multiply
    11,872.14x = 16,397 × 8,088.74
  4. Step 4: Simplify right side
    11,872.14x = 132,631,069.78
  5. Step 5: Solve for x
    x = 132,631,069.78/11,872.14
  6. Step 6: Final answer
    x = 11,171.62

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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.