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Finding the Fourth Proportional to 5,986.20, 8,976 and 1,824.96

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Solution

The fourth proportional to 5,986.20, 8,976 and 1,824.96 is: 2,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.20 : 8,976 = 1,824.96 : x
  2. Step 2: Convert to fraction form
    5,986.20/8,976 = 1,824.96/x
  3. Step 3: Cross multiply
    5,986.20x = 8,976 × 1,824.96
  4. Step 4: Simplify right side
    5,986.20x = 16,380,840.96
  5. Step 5: Solve for x
    x = 16,380,840.96/5,986.20
  6. Step 6: Final answer
    x = 2,736.43

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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.