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Finding the Fourth Proportional to 8,081, 12,100.38 and 5,471.72

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Solution

The fourth proportional to 8,081, 12,100.38 and 5,471.72 is: 8,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081 : 12,100.38 = 5,471.72 : x
  2. Step 2: Convert to fraction form
    8,081/12,100.38 = 5,471.72/x
  3. Step 3: Cross multiply
    8,081x = 12,100.38 × 5,471.72
  4. Step 4: Simplify right side
    8,081x = 66,209,891.25
  5. Step 5: Solve for x
    x = 66,209,891.25/8,081
  6. Step 6: Final answer
    x = 8,193.28

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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.