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Finding the Fourth Proportional to 3,968, 5,475.84 and 2,199.88

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Solution

The fourth proportional to 3,968, 5,475.84 and 2,199.88 is: 3,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968 : 5,475.84 = 2,199.88 : x
  2. Step 2: Convert to fraction form
    3,968/5,475.84 = 2,199.88/x
  3. Step 3: Cross multiply
    3,968x = 5,475.84 × 2,199.88
  4. Step 4: Simplify right side
    3,968x = 12,046,163.52
  5. Step 5: Solve for x
    x = 12,046,163.52/3,968
  6. Step 6: Final answer
    x = 3,035.83

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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.