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Finding the Fourth Proportional to 3,964.90, 5,940.01 and 1,988.22

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Solution

The fourth proportional to 3,964.90, 5,940.01 and 1,988.22 is: 2,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.90 : 5,940.01 = 1,988.22 : x
  2. Step 2: Convert to fraction form
    3,964.90/5,940.01 = 1,988.22/x
  3. Step 3: Cross multiply
    3,964.90x = 5,940.01 × 1,988.22
  4. Step 4: Simplify right side
    3,964.90x = 11,810,049.14
  5. Step 5: Solve for x
    x = 11,810,049.14/3,964.90
  6. Step 6: Final answer
    x = 2,978.65

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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.