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Finding the Fourth Proportional to 7,964.42, 11,940.90 and 3,745.31

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Solution

The fourth proportional to 7,964.42, 11,940.90 and 3,745.31 is: 5,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.42 : 11,940.90 = 3,745.31 : x
  2. Step 2: Convert to fraction form
    7,964.42/11,940.90 = 3,745.31/x
  3. Step 3: Cross multiply
    7,964.42x = 11,940.90 × 3,745.31
  4. Step 4: Simplify right side
    7,964.42x = 44,722,312.47
  5. Step 5: Solve for x
    x = 44,722,312.47/7,964.42
  6. Step 6: Final answer
    x = 5,615.27

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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.