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Finding the Fourth Proportional to 5,986.66, 8,978.92 and 2,092.18

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Solution

The fourth proportional to 5,986.66, 8,978.92 and 2,092.18 is: 3,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.66 : 8,978.92 = 2,092.18 : x
  2. Step 2: Convert to fraction form
    5,986.66/8,978.92 = 2,092.18/x
  3. Step 3: Cross multiply
    5,986.66x = 8,978.92 × 2,092.18
  4. Step 4: Simplify right side
    5,986.66x = 18,785,516.85
  5. Step 5: Solve for x
    x = 18,785,516.85/5,986.66
  6. Step 6: Final answer
    x = 3,137.90

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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.