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Finding the Fourth Proportional to 12,785.63, 17,644.17 and 7,481.46

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Solution

The fourth proportional to 12,785.63, 17,644.17 and 7,481.46 is: 10,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.63 : 17,644.17 = 7,481.46 : x
  2. Step 2: Convert to fraction form
    12,785.63/17,644.17 = 7,481.46/x
  3. Step 3: Cross multiply
    12,785.63x = 17,644.17 × 7,481.46
  4. Step 4: Simplify right side
    12,785.63x = 132,004,114.68
  5. Step 5: Solve for x
    x = 132,004,114.68/12,785.63
  6. Step 6: Final answer
    x = 10,324.42

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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.