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Finding the Fourth Proportional to 18,126, 27,189 and 6,439.68

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Solution

The fourth proportional to 18,126, 27,189 and 6,439.68 is: 9,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,126 : 27,189 = 6,439.68 : x
  2. Step 2: Convert to fraction form
    18,126/27,189 = 6,439.68/x
  3. Step 3: Cross multiply
    18,126x = 27,189 × 6,439.68
  4. Step 4: Simplify right side
    18,126x = 175,088,459.52
  5. Step 5: Solve for x
    x = 175,088,459.52/18,126
  6. Step 6: Final answer
    x = 9,659.52

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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.