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Finding the Fourth Proportional to 11,891.76, 17,826.36 and 5,648.56

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Solution

The fourth proportional to 11,891.76, 17,826.36 and 5,648.56 is: 8,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.76 : 17,826.36 = 5,648.56 : x
  2. Step 2: Convert to fraction form
    11,891.76/17,826.36 = 5,648.56/x
  3. Step 3: Cross multiply
    11,891.76x = 17,826.36 × 5,648.56
  4. Step 4: Simplify right side
    11,891.76x = 100,693,264.04
  5. Step 5: Solve for x
    x = 100,693,264.04/11,891.76
  6. Step 6: Final answer
    x = 8,467.48

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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.