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Finding the Fourth Proportional to 11,889, 16,406.82 and 6,921

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Solution

The fourth proportional to 11,889, 16,406.82 and 6,921 is: 9,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889 : 16,406.82 = 6,921 : x
  2. Step 2: Convert to fraction form
    11,889/16,406.82 = 6,921/x
  3. Step 3: Cross multiply
    11,889x = 16,406.82 × 6,921
  4. Step 4: Simplify right side
    11,889x = 113,551,601.22
  5. Step 5: Solve for x
    x = 113,551,601.22/11,889
  6. Step 6: Final answer
    x = 9,550.98

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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.