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Finding the Fourth Proportional to 20,767, 31,163.46 and 8,455

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Solution

The fourth proportional to 20,767, 31,163.46 and 8,455 is: 12,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767 : 31,163.46 = 8,455 : x
  2. Step 2: Convert to fraction form
    20,767/31,163.46 = 8,455/x
  3. Step 3: Cross multiply
    20,767x = 31,163.46 × 8,455
  4. Step 4: Simplify right side
    20,767x = 263,487,054.30
  5. Step 5: Solve for x
    x = 263,487,054.30/20,767
  6. Step 6: Final answer
    x = 12,687.78

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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.