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Finding the Fourth Proportional to 22,525.52, 33,792.12 and 6,942.80

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Solution

The fourth proportional to 22,525.52, 33,792.12 and 6,942.80 is: 10,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.52 : 33,792.12 = 6,942.80 : x
  2. Step 2: Convert to fraction form
    22,525.52/33,792.12 = 6,942.80/x
  3. Step 3: Cross multiply
    22,525.52x = 33,792.12 × 6,942.80
  4. Step 4: Simplify right side
    22,525.52x = 234,611,930.74
  5. Step 5: Solve for x
    x = 234,611,930.74/22,525.52
  6. Step 6: Final answer
    x = 10,415.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.