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Finding the Fourth Proportional to 18,614.76, 27,922.09 and 8,083.42

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Solution

The fourth proportional to 18,614.76, 27,922.09 and 8,083.42 is: 12,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.76 : 27,922.09 = 8,083.42 : x
  2. Step 2: Convert to fraction form
    18,614.76/27,922.09 = 8,083.42/x
  3. Step 3: Cross multiply
    18,614.76x = 27,922.09 × 8,083.42
  4. Step 4: Simplify right side
    18,614.76x = 225,705,980.75
  5. Step 5: Solve for x
    x = 225,705,980.75/18,614.76
  6. Step 6: Final answer
    x = 12,125.11

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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.