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Finding the Fourth Proportional to 5,986.57, 8,978.70 and 2,287.92

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Solution

The fourth proportional to 5,986.57, 8,978.70 and 2,287.92 is: 3,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.57 : 8,978.70 = 2,287.92 : x
  2. Step 2: Convert to fraction form
    5,986.57/8,978.70 = 2,287.92/x
  3. Step 3: Cross multiply
    5,986.57x = 8,978.70 × 2,287.92
  4. Step 4: Simplify right side
    5,986.57x = 20,542,551.43
  5. Step 5: Solve for x
    x = 20,542,551.43/5,986.57
  6. Step 6: Final answer
    x = 3,431.44

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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.