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Finding the Fourth Proportional to 3,960.76, 5,939.14 and 1,327.35

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Solution

The fourth proportional to 3,960.76, 5,939.14 and 1,327.35 is: 1,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.76 : 5,939.14 = 1,327.35 : x
  2. Step 2: Convert to fraction form
    3,960.76/5,939.14 = 1,327.35/x
  3. Step 3: Cross multiply
    3,960.76x = 5,939.14 × 1,327.35
  4. Step 4: Simplify right side
    3,960.76x = 7,883,317.48
  5. Step 5: Solve for x
    x = 7,883,317.48/3,960.76
  6. Step 6: Final answer
    x = 1,990.35

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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.