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Finding the Fourth Proportional to 11,688.66, 16,131 and 6,383.96

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Solution

The fourth proportional to 11,688.66, 16,131 and 6,383.96 is: 8,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.66 : 16,131 = 6,383.96 : x
  2. Step 2: Convert to fraction form
    11,688.66/16,131 = 6,383.96/x
  3. Step 3: Cross multiply
    11,688.66x = 16,131 × 6,383.96
  4. Step 4: Simplify right side
    11,688.66x = 102,979,658.76
  5. Step 5: Solve for x
    x = 102,979,658.76/11,688.66
  6. Step 6: Final answer
    x = 8,810.22

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Why These Related Problems?

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