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Finding the Fourth Proportional to 12,192.25, 16,825.63 and 6,887.85

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Solution

The fourth proportional to 12,192.25, 16,825.63 and 6,887.85 is: 9,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.25 : 16,825.63 = 6,887.85 : x
  2. Step 2: Convert to fraction form
    12,192.25/16,825.63 = 6,887.85/x
  3. Step 3: Cross multiply
    12,192.25x = 16,825.63 × 6,887.85
  4. Step 4: Simplify right side
    12,192.25x = 115,892,415.60
  5. Step 5: Solve for x
    x = 115,892,415.60/12,192.25
  6. Step 6: Final answer
    x = 9,505.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.