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Finding the Fourth Proportional to 11,671.50, 16,106 and 6,366

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Solution

The fourth proportional to 11,671.50, 16,106 and 6,366 is: 8,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.50 : 16,106 = 6,366 : x
  2. Step 2: Convert to fraction form
    11,671.50/16,106 = 6,366/x
  3. Step 3: Cross multiply
    11,671.50x = 16,106 × 6,366
  4. Step 4: Simplify right side
    11,671.50x = 102,530,796
  5. Step 5: Solve for x
    x = 102,530,796/11,671.50
  6. Step 6: Final answer
    x = 8,784.71

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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.