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Finding the Fourth Proportional to 20,885, 31,327.50 and 6,293

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Solution

The fourth proportional to 20,885, 31,327.50 and 6,293 is: 9,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885 : 31,327.50 = 6,293 : x
  2. Step 2: Convert to fraction form
    20,885/31,327.50 = 6,293/x
  3. Step 3: Cross multiply
    20,885x = 31,327.50 × 6,293
  4. Step 4: Simplify right side
    20,885x = 197,143,957.50
  5. Step 5: Solve for x
    x = 197,143,957.50/20,885
  6. Step 6: Final answer
    x = 9,439.50

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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.