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Finding the Fourth Proportional to 18,566.35, 27,856.82 and 8,170.81

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Solution

The fourth proportional to 18,566.35, 27,856.82 and 8,170.81 is: 12,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566.35 : 27,856.82 = 8,170.81 : x
  2. Step 2: Convert to fraction form
    18,566.35/27,856.82 = 8,170.81/x
  3. Step 3: Cross multiply
    18,566.35x = 27,856.82 × 8,170.81
  4. Step 4: Simplify right side
    18,566.35x = 227,612,783.42
  5. Step 5: Solve for x
    x = 227,612,783.42/18,566.35
  6. Step 6: Final answer
    x = 12,259.43

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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.