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Finding the Fourth Proportional to 18,665, 27,997.50 and 7,721

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Solution

The fourth proportional to 18,665, 27,997.50 and 7,721 is: 11,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665 : 27,997.50 = 7,721 : x
  2. Step 2: Convert to fraction form
    18,665/27,997.50 = 7,721/x
  3. Step 3: Cross multiply
    18,665x = 27,997.50 × 7,721
  4. Step 4: Simplify right side
    18,665x = 216,168,697.50
  5. Step 5: Solve for x
    x = 216,168,697.50/18,665
  6. Step 6: Final answer
    x = 11,581.50

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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.