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Finding the Fourth Proportional to 21,796, 32,694 and 5,380

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Solution

The fourth proportional to 21,796, 32,694 and 5,380 is: 8,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796 : 32,694 = 5,380 : x
  2. Step 2: Convert to fraction form
    21,796/32,694 = 5,380/x
  3. Step 3: Cross multiply
    21,796x = 32,694 × 5,380
  4. Step 4: Simplify right side
    21,796x = 175,893,720
  5. Step 5: Solve for x
    x = 175,893,720/21,796
  6. Step 6: Final answer
    x = 8,070

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.