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Finding the Fourth Proportional to 11,876.91, 17,814 and 3,112.52

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Solution

The fourth proportional to 11,876.91, 17,814 and 3,112.52 is: 4,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.91 : 17,814 = 3,112.52 : x
  2. Step 2: Convert to fraction form
    11,876.91/17,814 = 3,112.52/x
  3. Step 3: Cross multiply
    11,876.91x = 17,814 × 3,112.52
  4. Step 4: Simplify right side
    11,876.91x = 55,446,342.21
  5. Step 5: Solve for x
    x = 55,446,342.21/11,876.91
  6. Step 6: Final answer
    x = 4,668.41

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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.