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Finding the Fourth Proportional to 11,657, 16,086.66 and 6,689

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Solution

The fourth proportional to 11,657, 16,086.66 and 6,689 is: 9,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657 : 16,086.66 = 6,689 : x
  2. Step 2: Convert to fraction form
    11,657/16,086.66 = 6,689/x
  3. Step 3: Cross multiply
    11,657x = 16,086.66 × 6,689
  4. Step 4: Simplify right side
    11,657x = 107,603,668.74
  5. Step 5: Solve for x
    x = 107,603,668.74/11,657
  6. Step 6: Final answer
    x = 9,230.82

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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.