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Finding the Fourth Proportional to 11,920.91, 17,881.37 and 4,129.71

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Solution

The fourth proportional to 11,920.91, 17,881.37 and 4,129.71 is: 6,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.91 : 17,881.37 = 4,129.71 : x
  2. Step 2: Convert to fraction form
    11,920.91/17,881.37 = 4,129.71/x
  3. Step 3: Cross multiply
    11,920.91x = 17,881.37 × 4,129.71
  4. Step 4: Simplify right side
    11,920.91x = 73,844,851.85
  5. Step 5: Solve for x
    x = 73,844,851.85/11,920.91
  6. Step 6: Final answer
    x = 6,194.57

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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.