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Finding the Fourth Proportional to 5,496.86, 8,243.57 and 1,986.41

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Solution

The fourth proportional to 5,496.86, 8,243.57 and 1,986.41 is: 2,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.86 : 8,243.57 = 1,986.41 : x
  2. Step 2: Convert to fraction form
    5,496.86/8,243.57 = 1,986.41/x
  3. Step 3: Cross multiply
    5,496.86x = 8,243.57 × 1,986.41
  4. Step 4: Simplify right side
    5,496.86x = 16,375,089.09
  5. Step 5: Solve for x
    x = 16,375,089.09/5,496.86
  6. Step 6: Final answer
    x = 2,978.99

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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.