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Finding the Fourth Proportional to 22,012, 33,018 and 6,429.76

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Solution

The fourth proportional to 22,012, 33,018 and 6,429.76 is: 9,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 33,018 = 6,429.76 : x
  2. Step 2: Convert to fraction form
    22,012/33,018 = 6,429.76/x
  3. Step 3: Cross multiply
    22,012x = 33,018 × 6,429.76
  4. Step 4: Simplify right side
    22,012x = 212,297,815.68
  5. Step 5: Solve for x
    x = 212,297,815.68/22,012
  6. Step 6: Final answer
    x = 9,644.64

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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.