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Finding the Fourth Proportional to 8,203.44, 12,268.56 and 7,284.96

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Solution

The fourth proportional to 8,203.44, 12,268.56 and 7,284.96 is: 10,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.44 : 12,268.56 = 7,284.96 : x
  2. Step 2: Convert to fraction form
    8,203.44/12,268.56 = 7,284.96/x
  3. Step 3: Cross multiply
    8,203.44x = 12,268.56 × 7,284.96
  4. Step 4: Simplify right side
    8,203.44x = 89,375,968.86
  5. Step 5: Solve for x
    x = 89,375,968.86/8,203.44
  6. Step 6: Final answer
    x = 10,894.94

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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.