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Finding the Fourth Proportional to 21,824, 32,736 and 5,408

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Solution

The fourth proportional to 21,824, 32,736 and 5,408 is: 8,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824 : 32,736 = 5,408 : x
  2. Step 2: Convert to fraction form
    21,824/32,736 = 5,408/x
  3. Step 3: Cross multiply
    21,824x = 32,736 × 5,408
  4. Step 4: Simplify right side
    21,824x = 177,036,288
  5. Step 5: Solve for x
    x = 177,036,288/21,824
  6. Step 6: Final answer
    x = 8,112

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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.