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Finding the Fourth Proportional to 12,383.68, 18,560.16 and 8,728

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Solution

The fourth proportional to 12,383.68, 18,560.16 and 8,728 is: 13,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.68 : 18,560.16 = 8,728 : x
  2. Step 2: Convert to fraction form
    12,383.68/18,560.16 = 8,728/x
  3. Step 3: Cross multiply
    12,383.68x = 18,560.16 × 8,728
  4. Step 4: Simplify right side
    12,383.68x = 161,993,076.48
  5. Step 5: Solve for x
    x = 161,993,076.48/12,383.68
  6. Step 6: Final answer
    x = 13,081.17

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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.