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Finding the Fourth Proportional to 8,228.82, 11,352.96 and 4,689.48

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Solution

The fourth proportional to 8,228.82, 11,352.96 and 4,689.48 is: 6,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.82 : 11,352.96 = 4,689.48 : x
  2. Step 2: Convert to fraction form
    8,228.82/11,352.96 = 4,689.48/x
  3. Step 3: Cross multiply
    8,228.82x = 11,352.96 × 4,689.48
  4. Step 4: Simplify right side
    8,228.82x = 53,239,478.86
  5. Step 5: Solve for x
    x = 53,239,478.86/8,228.82
  6. Step 6: Final answer
    x = 6,469.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.