Home / 27,846-41,764.96-8,119.28

Finding the Fourth Proportional to 27,846, 41,764.96 and 8,119.28

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Solution

The fourth proportional to 27,846, 41,764.96 and 8,119.28 is: 12,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846 : 41,764.96 = 8,119.28 : x
  2. Step 2: Convert to fraction form
    27,846/41,764.96 = 8,119.28/x
  3. Step 3: Cross multiply
    27,846x = 41,764.96 × 8,119.28
  4. Step 4: Simplify right side
    27,846x = 339,101,404.43
  5. Step 5: Solve for x
    x = 339,101,404.43/27,846
  6. Step 6: Final answer
    x = 12,177.74

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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.