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Finding the Fourth Proportional to 21,744.46, 32,620.78 and 6,949.40

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Solution

The fourth proportional to 21,744.46, 32,620.78 and 6,949.40 is: 10,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.46 : 32,620.78 = 6,949.40 : x
  2. Step 2: Convert to fraction form
    21,744.46/32,620.78 = 6,949.40/x
  3. Step 3: Cross multiply
    21,744.46x = 32,620.78 × 6,949.40
  4. Step 4: Simplify right side
    21,744.46x = 226,694,848.53
  5. Step 5: Solve for x
    x = 226,694,848.53/21,744.46
  6. Step 6: Final answer
    x = 10,425.41

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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.