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Finding the Fourth Proportional to 12,799.36, 17,662.38 and 7,133.92

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Solution

The fourth proportional to 12,799.36, 17,662.38 and 7,133.92 is: 9,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.36 : 17,662.38 = 7,133.92 : x
  2. Step 2: Convert to fraction form
    12,799.36/17,662.38 = 7,133.92/x
  3. Step 3: Cross multiply
    12,799.36x = 17,662.38 × 7,133.92
  4. Step 4: Simplify right side
    12,799.36x = 126,002,005.93
  5. Step 5: Solve for x
    x = 126,002,005.93/12,799.36
  6. Step 6: Final answer
    x = 9,844.40

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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.