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Finding the Fourth Proportional to 23,012.22, 31,757.04 and 12,940.68

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Solution

The fourth proportional to 23,012.22, 31,757.04 and 12,940.68 is: 17,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.22 : 31,757.04 = 12,940.68 : x
  2. Step 2: Convert to fraction form
    23,012.22/31,757.04 = 12,940.68/x
  3. Step 3: Cross multiply
    23,012.22x = 31,757.04 × 12,940.68
  4. Step 4: Simplify right side
    23,012.22x = 410,957,692.39
  5. Step 5: Solve for x
    x = 410,957,692.39/23,012.22
  6. Step 6: Final answer
    x = 17,858.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.