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Finding the Fourth Proportional to 11,730.31, 16,188.09 and 6,694.43

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Solution

The fourth proportional to 11,730.31, 16,188.09 and 6,694.43 is: 9,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.31 : 16,188.09 = 6,694.43 : x
  2. Step 2: Convert to fraction form
    11,730.31/16,188.09 = 6,694.43/x
  3. Step 3: Cross multiply
    11,730.31x = 16,188.09 × 6,694.43
  4. Step 4: Simplify right side
    11,730.31x = 108,369,978.13
  5. Step 5: Solve for x
    x = 108,369,978.13/11,730.31
  6. Step 6: Final answer
    x = 9,238.46

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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.