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Finding the Fourth Proportional to 11,149.32, 16,736.10 and 8,383.92

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Solution

The fourth proportional to 11,149.32, 16,736.10 and 8,383.92 is: 12,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.32 : 16,736.10 = 8,383.92 : x
  2. Step 2: Convert to fraction form
    11,149.32/16,736.10 = 8,383.92/x
  3. Step 3: Cross multiply
    11,149.32x = 16,736.10 × 8,383.92
  4. Step 4: Simplify right side
    11,149.32x = 140,314,123.51
  5. Step 5: Solve for x
    x = 140,314,123.51/11,149.32
  6. Step 6: Final answer
    x = 12,584.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.