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Finding the Fourth Proportional to 3,989.39, 5,978.41 and 2,941.14

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Solution

The fourth proportional to 3,989.39, 5,978.41 and 2,941.14 is: 4,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.39 : 5,978.41 = 2,941.14 : x
  2. Step 2: Convert to fraction form
    3,989.39/5,978.41 = 2,941.14/x
  3. Step 3: Cross multiply
    3,989.39x = 5,978.41 × 2,941.14
  4. Step 4: Simplify right side
    3,989.39x = 17,583,355.85
  5. Step 5: Solve for x
    x = 17,583,355.85/3,989.39
  6. Step 6: Final answer
    x = 4,407.54

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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.