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Finding the Fourth Proportional to 8,682.25, 13,023.19 and 2,108.47

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Solution

The fourth proportional to 8,682.25, 13,023.19 and 2,108.47 is: 3,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.25 : 13,023.19 = 2,108.47 : x
  2. Step 2: Convert to fraction form
    8,682.25/13,023.19 = 2,108.47/x
  3. Step 3: Cross multiply
    8,682.25x = 13,023.19 × 2,108.47
  4. Step 4: Simplify right side
    8,682.25x = 27,458,975.50
  5. Step 5: Solve for x
    x = 27,458,975.50/8,682.25
  6. Step 6: Final answer
    x = 3,162.66

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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.