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Finding the Fourth Proportional to 11,819.04, 17,726.94 and 6,891

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Solution

The fourth proportional to 11,819.04, 17,726.94 and 6,891 is: 10,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.04 : 17,726.94 = 6,891 : x
  2. Step 2: Convert to fraction form
    11,819.04/17,726.94 = 6,891/x
  3. Step 3: Cross multiply
    11,819.04x = 17,726.94 × 6,891
  4. Step 4: Simplify right side
    11,819.04x = 122,156,343.54
  5. Step 5: Solve for x
    x = 122,156,343.54/11,819.04
  6. Step 6: Final answer
    x = 10,335.56

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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.