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Finding the Fourth Proportional to 18,665, 27,998.04 and 4,814

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Solution

The fourth proportional to 18,665, 27,998.04 and 4,814 is: 7,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665 : 27,998.04 = 4,814 : x
  2. Step 2: Convert to fraction form
    18,665/27,998.04 = 4,814/x
  3. Step 3: Cross multiply
    18,665x = 27,998.04 × 4,814
  4. Step 4: Simplify right side
    18,665x = 134,782,564.56
  5. Step 5: Solve for x
    x = 134,782,564.56/18,665
  6. Step 6: Final answer
    x = 7,221.14

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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.