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Finding the Fourth Proportional to 11,999, 16,558.64 and 6,694.15

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Solution

The fourth proportional to 11,999, 16,558.64 and 6,694.15 is: 9,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999 : 16,558.64 = 6,694.15 : x
  2. Step 2: Convert to fraction form
    11,999/16,558.64 = 6,694.15/x
  3. Step 3: Cross multiply
    11,999x = 16,558.64 × 6,694.15
  4. Step 4: Simplify right side
    11,999x = 110,846,019.96
  5. Step 5: Solve for x
    x = 110,846,019.96/11,999
  6. Step 6: Final answer
    x = 9,237.94

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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.