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Finding the Fourth Proportional to 7,944.12, 11,917.98 and 2,679

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Solution

The fourth proportional to 7,944.12, 11,917.98 and 2,679 is: 4,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.12 : 11,917.98 = 2,679 : x
  2. Step 2: Convert to fraction form
    7,944.12/11,917.98 = 2,679/x
  3. Step 3: Cross multiply
    7,944.12x = 11,917.98 × 2,679
  4. Step 4: Simplify right side
    7,944.12x = 31,928,268.42
  5. Step 5: Solve for x
    x = 31,928,268.42/7,944.12
  6. Step 6: Final answer
    x = 4,019.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.