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Finding the Fourth Proportional to 12,405.66, 17,109.87 and 8,161.09

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Solution

The fourth proportional to 12,405.66, 17,109.87 and 8,161.09 is: 11,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.66 : 17,109.87 = 8,161.09 : x
  2. Step 2: Convert to fraction form
    12,405.66/17,109.87 = 8,161.09/x
  3. Step 3: Cross multiply
    12,405.66x = 17,109.87 × 8,161.09
  4. Step 4: Simplify right side
    12,405.66x = 139,635,115.58
  5. Step 5: Solve for x
    x = 139,635,115.58/12,405.66
  6. Step 6: Final answer
    x = 11,255.76

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1.5x scale

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.