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Finding the Fourth Proportional to 11,733.92, 16,193.12 and 6,429.12

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Solution

The fourth proportional to 11,733.92, 16,193.12 and 6,429.12 is: 8,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.92 : 16,193.12 = 6,429.12 : x
  2. Step 2: Convert to fraction form
    11,733.92/16,193.12 = 6,429.12/x
  3. Step 3: Cross multiply
    11,733.92x = 16,193.12 × 6,429.12
  4. Step 4: Simplify right side
    11,733.92x = 104,107,511.65
  5. Step 5: Solve for x
    x = 104,107,511.65/11,733.92
  6. Step 6: Final answer
    x = 8,872.36

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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.