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Finding the Fourth Proportional to 3,985.92, 5,993.28 and 3,960

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Solution

The fourth proportional to 3,985.92, 5,993.28 and 3,960 is: 5,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.92 : 5,993.28 = 3,960 : x
  2. Step 2: Convert to fraction form
    3,985.92/5,993.28 = 3,960/x
  3. Step 3: Cross multiply
    3,985.92x = 5,993.28 × 3,960
  4. Step 4: Simplify right side
    3,985.92x = 23,733,388.80
  5. Step 5: Solve for x
    x = 23,733,388.80/3,985.92
  6. Step 6: Final answer
    x = 5,954.31

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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.