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Finding the Fourth Proportional to 21,782, 32,673 and 5,366

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Solution

The fourth proportional to 21,782, 32,673 and 5,366 is: 8,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782 : 32,673 = 5,366 : x
  2. Step 2: Convert to fraction form
    21,782/32,673 = 5,366/x
  3. Step 3: Cross multiply
    21,782x = 32,673 × 5,366
  4. Step 4: Simplify right side
    21,782x = 175,323,318
  5. Step 5: Solve for x
    x = 175,323,318/21,782
  6. Step 6: Final answer
    x = 8,049

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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.