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Finding the Fourth Proportional to 11,676, 16,112.88 and 7,486.68

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Solution

The fourth proportional to 11,676, 16,112.88 and 7,486.68 is: 10,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676 : 16,112.88 = 7,486.68 : x
  2. Step 2: Convert to fraction form
    11,676/16,112.88 = 7,486.68/x
  3. Step 3: Cross multiply
    11,676x = 16,112.88 × 7,486.68
  4. Step 4: Simplify right side
    11,676x = 120,631,976.44
  5. Step 5: Solve for x
    x = 120,631,976.44/11,676
  6. Step 6: Final answer
    x = 10,331.62

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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.