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Finding the Fourth Proportional to 12,383.28, 17,089.38 and 6,794.28

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Solution

The fourth proportional to 12,383.28, 17,089.38 and 6,794.28 is: 9,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.28 : 17,089.38 = 6,794.28 : x
  2. Step 2: Convert to fraction form
    12,383.28/17,089.38 = 6,794.28/x
  3. Step 3: Cross multiply
    12,383.28x = 17,089.38 × 6,794.28
  4. Step 4: Simplify right side
    12,383.28x = 116,110,032.75
  5. Step 5: Solve for x
    x = 116,110,032.75/12,383.28
  6. Step 6: Final answer
    x = 9,376.36

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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.