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Finding the Fourth Proportional to 16,112.82, 22,236.09 and 9,039.78

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Solution

The fourth proportional to 16,112.82, 22,236.09 and 9,039.78 is: 12,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112.82 : 22,236.09 = 9,039.78 : x
  2. Step 2: Convert to fraction form
    16,112.82/22,236.09 = 9,039.78/x
  3. Step 3: Cross multiply
    16,112.82x = 22,236.09 × 9,039.78
  4. Step 4: Simplify right side
    16,112.82x = 201,009,361.66
  5. Step 5: Solve for x
    x = 201,009,361.66/16,112.82
  6. Step 6: Final answer
    x = 12,475.12

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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.