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Finding the Fourth Proportional to 12,662.88, 17,476 and 6,998.96

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Solution

The fourth proportional to 12,662.88, 17,476 and 6,998.96 is: 9,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.88 : 17,476 = 6,998.96 : x
  2. Step 2: Convert to fraction form
    12,662.88/17,476 = 6,998.96/x
  3. Step 3: Cross multiply
    12,662.88x = 17,476 × 6,998.96
  4. Step 4: Simplify right side
    12,662.88x = 122,313,824.96
  5. Step 5: Solve for x
    x = 122,313,824.96/12,662.88
  6. Step 6: Final answer
    x = 9,659.24

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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.