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Finding the Fourth Proportional to 18,505.84, 27,760.02 and 6,819.88

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Solution

The fourth proportional to 18,505.84, 27,760.02 and 6,819.88 is: 10,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.84 : 27,760.02 = 6,819.88 : x
  2. Step 2: Convert to fraction form
    18,505.84/27,760.02 = 6,819.88/x
  3. Step 3: Cross multiply
    18,505.84x = 27,760.02 × 6,819.88
  4. Step 4: Simplify right side
    18,505.84x = 189,320,005.20
  5. Step 5: Solve for x
    x = 189,320,005.20/18,505.84
  6. Step 6: Final answer
    x = 10,230.28

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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.