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Finding the Fourth Proportional to 18,636.72, 27,964.46 and 11,614.96

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Solution

The fourth proportional to 18,636.72, 27,964.46 and 11,614.96 is: 17,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,636.72 : 27,964.46 = 11,614.96 : x
  2. Step 2: Convert to fraction form
    18,636.72/27,964.46 = 11,614.96/x
  3. Step 3: Cross multiply
    18,636.72x = 27,964.46 × 11,614.96
  4. Step 4: Simplify right side
    18,636.72x = 324,806,084.32
  5. Step 5: Solve for x
    x = 324,806,084.32/18,636.72
  6. Step 6: Final answer
    x = 17,428.29

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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.