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Finding the Fourth Proportional to 12,662.73, 18,983.16 and 5,636.39

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Solution

The fourth proportional to 12,662.73, 18,983.16 and 5,636.39 is: 8,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.73 : 18,983.16 = 5,636.39 : x
  2. Step 2: Convert to fraction form
    12,662.73/18,983.16 = 5,636.39/x
  3. Step 3: Cross multiply
    12,662.73x = 18,983.16 × 5,636.39
  4. Step 4: Simplify right side
    12,662.73x = 106,996,398.28
  5. Step 5: Solve for x
    x = 106,996,398.28/12,662.73
  6. Step 6: Final answer
    x = 8,449.71

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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.