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Finding the Fourth Proportional to 7,978.08, 11,964.24 and 3,361.44

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Solution

The fourth proportional to 7,978.08, 11,964.24 and 3,361.44 is: 5,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.08 : 11,964.24 = 3,361.44 : x
  2. Step 2: Convert to fraction form
    7,978.08/11,964.24 = 3,361.44/x
  3. Step 3: Cross multiply
    7,978.08x = 11,964.24 × 3,361.44
  4. Step 4: Simplify right side
    7,978.08x = 40,217,074.91
  5. Step 5: Solve for x
    x = 40,217,074.91/7,978.08
  6. Step 6: Final answer
    x = 5,040.95

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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.