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Finding the Fourth Proportional to 11,619, 16,027.14 and 6,900.12

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Solution

The fourth proportional to 11,619, 16,027.14 and 6,900.12 is: 9,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619 : 16,027.14 = 6,900.12 : x
  2. Step 2: Convert to fraction form
    11,619/16,027.14 = 6,900.12/x
  3. Step 3: Cross multiply
    11,619x = 16,027.14 × 6,900.12
  4. Step 4: Simplify right side
    11,619x = 110,589,189.26
  5. Step 5: Solve for x
    x = 110,589,189.26/11,619
  6. Step 6: Final answer
    x = 9,517.96

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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.