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Finding the Fourth Proportional to 11,920.77, 17,881.97 and 5,679.72

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Solution

The fourth proportional to 11,920.77, 17,881.97 and 5,679.72 is: 8,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.77 : 17,881.97 = 5,679.72 : x
  2. Step 2: Convert to fraction form
    11,920.77/17,881.97 = 5,679.72/x
  3. Step 3: Cross multiply
    11,920.77x = 17,881.97 × 5,679.72
  4. Step 4: Simplify right side
    11,920.77x = 101,564,554.25
  5. Step 5: Solve for x
    x = 101,564,554.25/11,920.77
  6. Step 6: Final answer
    x = 8,519.97

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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.