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Finding the Fourth Proportional to 31,800, 43,884 and 18,552

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Solution

The fourth proportional to 31,800, 43,884 and 18,552 is: 25,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800 : 43,884 = 18,552 : x
  2. Step 2: Convert to fraction form
    31,800/43,884 = 18,552/x
  3. Step 3: Cross multiply
    31,800x = 43,884 × 18,552
  4. Step 4: Simplify right side
    31,800x = 814,135,968
  5. Step 5: Solve for x
    x = 814,135,968/31,800
  6. Step 6: Final answer
    x = 25,601.76

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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.