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Finding the Fourth Proportional to 12,680.96, 17,499.60 and 7,092

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Solution

The fourth proportional to 12,680.96, 17,499.60 and 7,092 is: 9,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.96 : 17,499.60 = 7,092 : x
  2. Step 2: Convert to fraction form
    12,680.96/17,499.60 = 7,092/x
  3. Step 3: Cross multiply
    12,680.96x = 17,499.60 × 7,092
  4. Step 4: Simplify right side
    12,680.96x = 124,107,163.20
  5. Step 5: Solve for x
    x = 124,107,163.20/12,680.96
  6. Step 6: Final answer
    x = 9,786.89

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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.