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Finding the Fourth Proportional to 5,684.32, 7,843.76 and 3,199.84

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Solution

The fourth proportional to 5,684.32, 7,843.76 and 3,199.84 is: 4,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.32 : 7,843.76 = 3,199.84 : x
  2. Step 2: Convert to fraction form
    5,684.32/7,843.76 = 3,199.84/x
  3. Step 3: Cross multiply
    5,684.32x = 7,843.76 × 3,199.84
  4. Step 4: Simplify right side
    5,684.32x = 25,098,777.00
  5. Step 5: Solve for x
    x = 25,098,777.00/5,684.32
  6. Step 6: Final answer
    x = 4,415.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.