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Finding the Fourth Proportional to 3,940.80, 5,906.40 and 1,747.20

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Solution

The fourth proportional to 3,940.80, 5,906.40 and 1,747.20 is: 2,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.80 : 5,906.40 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    3,940.80/5,906.40 = 1,747.20/x
  3. Step 3: Cross multiply
    3,940.80x = 5,906.40 × 1,747.20
  4. Step 4: Simplify right side
    3,940.80x = 10,319,662.08
  5. Step 5: Solve for x
    x = 10,319,662.08/3,940.80
  6. Step 6: Final answer
    x = 2,618.67

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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.