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Finding the Fourth Proportional to 21,996, 32,994.96 and 6,414.96

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Solution

The fourth proportional to 21,996, 32,994.96 and 6,414.96 is: 9,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996 : 32,994.96 = 6,414.96 : x
  2. Step 2: Convert to fraction form
    21,996/32,994.96 = 6,414.96/x
  3. Step 3: Cross multiply
    21,996x = 32,994.96 × 6,414.96
  4. Step 4: Simplify right side
    21,996x = 211,661,348.60
  5. Step 5: Solve for x
    x = 211,661,348.60/21,996
  6. Step 6: Final answer
    x = 9,622.72

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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.