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Finding the Fourth Proportional to 20,232, 30,348 and 6,381

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Solution

The fourth proportional to 20,232, 30,348 and 6,381 is: 9,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 30,348 = 6,381 : x
  2. Step 2: Convert to fraction form
    20,232/30,348 = 6,381/x
  3. Step 3: Cross multiply
    20,232x = 30,348 × 6,381
  4. Step 4: Simplify right side
    20,232x = 193,650,588
  5. Step 5: Solve for x
    x = 193,650,588/20,232
  6. Step 6: Final answer
    x = 9,571.50

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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.