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Finding the Fourth Proportional to 3,940.34, 5,912.87 and 3,536.96

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Solution

The fourth proportional to 3,940.34, 5,912.87 and 3,536.96 is: 5,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.34 : 5,912.87 = 3,536.96 : x
  2. Step 2: Convert to fraction form
    3,940.34/5,912.87 = 3,536.96/x
  3. Step 3: Cross multiply
    3,940.34x = 5,912.87 × 3,536.96
  4. Step 4: Simplify right side
    3,940.34x = 20,913,537.43
  5. Step 5: Solve for x
    x = 20,913,537.43/3,940.34
  6. Step 6: Final answer
    x = 5,307.55

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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.