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Finding the Fourth Proportional to 31,678, 43,715.08 and 18,249.20

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Solution

The fourth proportional to 31,678, 43,715.08 and 18,249.20 is: 25,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678 : 43,715.08 = 18,249.20 : x
  2. Step 2: Convert to fraction form
    31,678/43,715.08 = 18,249.20/x
  3. Step 3: Cross multiply
    31,678x = 43,715.08 × 18,249.20
  4. Step 4: Simplify right side
    31,678x = 797,765,237.94
  5. Step 5: Solve for x
    x = 797,765,237.94/31,678
  6. Step 6: Final answer
    x = 25,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.