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Finding the Fourth Proportional to 31,631, 43,647 and 17,481.92

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Solution

The fourth proportional to 31,631, 43,647 and 17,481.92 is: 24,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,631 : 43,647 = 17,481.92 : x
  2. Step 2: Convert to fraction form
    31,631/43,647 = 17,481.92/x
  3. Step 3: Cross multiply
    31,631x = 43,647 × 17,481.92
  4. Step 4: Simplify right side
    31,631x = 763,033,362.24
  5. Step 5: Solve for x
    x = 763,033,362.24/31,631
  6. Step 6: Final answer
    x = 24,122.96

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1.5x scale

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.