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Finding the Fourth Proportional to 23,165.92, 31,968.11 and 12,555.33

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Solution

The fourth proportional to 23,165.92, 31,968.11 and 12,555.33 is: 17,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.92 : 31,968.11 = 12,555.33 : x
  2. Step 2: Convert to fraction form
    23,165.92/31,968.11 = 12,555.33/x
  3. Step 3: Cross multiply
    23,165.92x = 31,968.11 × 12,555.33
  4. Step 4: Simplify right side
    23,165.92x = 401,369,947.91
  5. Step 5: Solve for x
    x = 401,369,947.91/23,165.92
  6. Step 6: Final answer
    x = 17,325.88

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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.