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Finding the Fourth Proportional to 21,336, 32,004 and 6,744

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Solution

The fourth proportional to 21,336, 32,004 and 6,744 is: 10,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336 : 32,004 = 6,744 : x
  2. Step 2: Convert to fraction form
    21,336/32,004 = 6,744/x
  3. Step 3: Cross multiply
    21,336x = 32,004 × 6,744
  4. Step 4: Simplify right side
    21,336x = 215,834,976
  5. Step 5: Solve for x
    x = 215,834,976/21,336
  6. Step 6: Final answer
    x = 10,116

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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.