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Finding the Fourth Proportional to 12,388.56, 17,096 and 6,799.52

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Solution

The fourth proportional to 12,388.56, 17,096 and 6,799.52 is: 9,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.56 : 17,096 = 6,799.52 : x
  2. Step 2: Convert to fraction form
    12,388.56/17,096 = 6,799.52/x
  3. Step 3: Cross multiply
    12,388.56x = 17,096 × 6,799.52
  4. Step 4: Simplify right side
    12,388.56x = 116,244,593.92
  5. Step 5: Solve for x
    x = 116,244,593.92/12,388.56
  6. Step 6: Final answer
    x = 9,383.22

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Why These Related Problems?

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