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Finding the Fourth Proportional to 8,093.82, 12,140.77 and 2,828.81

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Solution

The fourth proportional to 8,093.82, 12,140.77 and 2,828.81 is: 4,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.82 : 12,140.77 = 2,828.81 : x
  2. Step 2: Convert to fraction form
    8,093.82/12,140.77 = 2,828.81/x
  3. Step 3: Cross multiply
    8,093.82x = 12,140.77 × 2,828.81
  4. Step 4: Simplify right side
    8,093.82x = 34,343,891.88
  5. Step 5: Solve for x
    x = 34,343,891.88/8,093.82
  6. Step 6: Final answer
    x = 4,243.22

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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.