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Finding the Fourth Proportional to 5,986, 8,979 and 1,882

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Solution

The fourth proportional to 5,986, 8,979 and 1,882 is: 2,823

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 8,979 = 1,882 : x
  2. Step 2: Convert to fraction form
    5,986/8,979 = 1,882/x
  3. Step 3: Cross multiply
    5,986x = 8,979 × 1,882
  4. Step 4: Simplify right side
    5,986x = 16,898,478
  5. Step 5: Solve for x
    x = 16,898,478/5,986
  6. Step 6: Final answer
    x = 2,823

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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.