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Finding the Fourth Proportional to 18,489.32, 27,729 and 8,618.96

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Solution

The fourth proportional to 18,489.32, 27,729 and 8,618.96 is: 12,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.32 : 27,729 = 8,618.96 : x
  2. Step 2: Convert to fraction form
    18,489.32/27,729 = 8,618.96/x
  3. Step 3: Cross multiply
    18,489.32x = 27,729 × 8,618.96
  4. Step 4: Simplify right side
    18,489.32x = 238,995,141.84
  5. Step 5: Solve for x
    x = 238,995,141.84/18,489.32
  6. Step 6: Final answer
    x = 12,926.12

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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.