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Finding the Fourth Proportional to 8,192.57, 12,268.80 and 3,811.28

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Solution

The fourth proportional to 8,192.57, 12,268.80 and 3,811.28 is: 5,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.57 : 12,268.80 = 3,811.28 : x
  2. Step 2: Convert to fraction form
    8,192.57/12,268.80 = 3,811.28/x
  3. Step 3: Cross multiply
    8,192.57x = 12,268.80 × 3,811.28
  4. Step 4: Simplify right side
    8,192.57x = 46,759,770.72
  5. Step 5: Solve for x
    x = 46,759,770.72/8,192.57
  6. Step 6: Final answer
    x = 5,707.59

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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.