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Finding the Fourth Proportional to 3,978.20, 5,491.44 and 2,651.42

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Solution

The fourth proportional to 3,978.20, 5,491.44 and 2,651.42 is: 3,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.20 : 5,491.44 = 2,651.42 : x
  2. Step 2: Convert to fraction form
    3,978.20/5,491.44 = 2,651.42/x
  3. Step 3: Cross multiply
    3,978.20x = 5,491.44 × 2,651.42
  4. Step 4: Simplify right side
    3,978.20x = 14,560,113.84
  5. Step 5: Solve for x
    x = 14,560,113.84/3,978.20
  6. Step 6: Final answer
    x = 3,659.98

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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.