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Finding the Fourth Proportional to 3,808.32, 5,714.64 and 2,163.84

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Solution

The fourth proportional to 3,808.32, 5,714.64 and 2,163.84 is: 3,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.32 : 5,714.64 = 2,163.84 : x
  2. Step 2: Convert to fraction form
    3,808.32/5,714.64 = 2,163.84/x
  3. Step 3: Cross multiply
    3,808.32x = 5,714.64 × 2,163.84
  4. Step 4: Simplify right side
    3,808.32x = 12,365,566.62
  5. Step 5: Solve for x
    x = 12,365,566.62/3,808.32
  6. Step 6: Final answer
    x = 3,246.99

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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.