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Finding the Fourth Proportional to 18,664, 27,996 and 7,720

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Solution

The fourth proportional to 18,664, 27,996 and 7,720 is: 11,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 27,996 = 7,720 : x
  2. Step 2: Convert to fraction form
    18,664/27,996 = 7,720/x
  3. Step 3: Cross multiply
    18,664x = 27,996 × 7,720
  4. Step 4: Simplify right side
    18,664x = 216,129,120
  5. Step 5: Solve for x
    x = 216,129,120/18,664
  6. Step 6: Final answer
    x = 11,580

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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.