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Finding the Fourth Proportional to 3,940.86, 5,911.29 and 3,743.78

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Solution

The fourth proportional to 3,940.86, 5,911.29 and 3,743.78 is: 5,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.86 : 5,911.29 = 3,743.78 : x
  2. Step 2: Convert to fraction form
    3,940.86/5,911.29 = 3,743.78/x
  3. Step 3: Cross multiply
    3,940.86x = 5,911.29 × 3,743.78
  4. Step 4: Simplify right side
    3,940.86x = 22,130,539.72
  5. Step 5: Solve for x
    x = 22,130,539.72/3,940.86
  6. Step 6: Final answer
    x = 5,615.67

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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.