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Finding the Fourth Proportional to 18,122, 27,183.18 and 6,435.68

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Solution

The fourth proportional to 18,122, 27,183.18 and 6,435.68 is: 9,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122 : 27,183.18 = 6,435.68 : x
  2. Step 2: Convert to fraction form
    18,122/27,183.18 = 6,435.68/x
  3. Step 3: Cross multiply
    18,122x = 27,183.18 × 6,435.68
  4. Step 4: Simplify right side
    18,122x = 174,942,247.86
  5. Step 5: Solve for x
    x = 174,942,247.86/18,122
  6. Step 6: Final answer
    x = 9,653.58

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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.