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Finding the Fourth Proportional to 3,986.36, 5,980.36 and 3,293.82

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Solution

The fourth proportional to 3,986.36, 5,980.36 and 3,293.82 is: 4,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.36 : 5,980.36 = 3,293.82 : x
  2. Step 2: Convert to fraction form
    3,986.36/5,980.36 = 3,293.82/x
  3. Step 3: Cross multiply
    3,986.36x = 5,980.36 × 3,293.82
  4. Step 4: Simplify right side
    3,986.36x = 19,698,229.38
  5. Step 5: Solve for x
    x = 19,698,229.38/3,986.36
  6. Step 6: Final answer
    x = 4,941.41

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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.