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Finding the Fourth Proportional to 3,960.80, 5,940.25 and 1,328.40

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Solution

The fourth proportional to 3,960.80, 5,940.25 and 1,328.40 is: 1,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.80 : 5,940.25 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    3,960.80/5,940.25 = 1,328.40/x
  3. Step 3: Cross multiply
    3,960.80x = 5,940.25 × 1,328.40
  4. Step 4: Simplify right side
    3,960.80x = 7,891,024.78
  5. Step 5: Solve for x
    x = 7,891,024.78/3,960.80
  6. Step 6: Final answer
    x = 1,992.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.