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Finding the Fourth Proportional to 18,500.85, 27,765.86 and 6,822.27

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Solution

The fourth proportional to 18,500.85, 27,765.86 and 6,822.27 is: 10,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500.85 : 27,765.86 = 6,822.27 : x
  2. Step 2: Convert to fraction form
    18,500.85/27,765.86 = 6,822.27/x
  3. Step 3: Cross multiply
    18,500.85x = 27,765.86 × 6,822.27
  4. Step 4: Simplify right side
    18,500.85x = 189,426,159.59
  5. Step 5: Solve for x
    x = 189,426,159.59/18,500.85
  6. Step 6: Final answer
    x = 10,238.78

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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.