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Finding the Fourth Proportional to 9,564.72, 13,163.36 and 8,092

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Solution

The fourth proportional to 9,564.72, 13,163.36 and 8,092 is: 11,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.72 : 13,163.36 = 8,092 : x
  2. Step 2: Convert to fraction form
    9,564.72/13,163.36 = 8,092/x
  3. Step 3: Cross multiply
    9,564.72x = 13,163.36 × 8,092
  4. Step 4: Simplify right side
    9,564.72x = 106,517,909.12
  5. Step 5: Solve for x
    x = 106,517,909.12/9,564.72
  6. Step 6: Final answer
    x = 11,136.54

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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.