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Finding the Fourth Proportional to 7,714.96, 11,571.84 and 2,168

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Solution

The fourth proportional to 7,714.96, 11,571.84 and 2,168 is: 3,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.96 : 11,571.84 = 2,168 : x
  2. Step 2: Convert to fraction form
    7,714.96/11,571.84 = 2,168/x
  3. Step 3: Cross multiply
    7,714.96x = 11,571.84 × 2,168
  4. Step 4: Simplify right side
    7,714.96x = 25,087,749.12
  5. Step 5: Solve for x
    x = 25,087,749.12/7,714.96
  6. Step 6: Final answer
    x = 3,251.83

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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.