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Finding the Fourth Proportional to 8,468, 12,704.80 and 3,273.92

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Solution

The fourth proportional to 8,468, 12,704.80 and 3,273.92 is: 4,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468 : 12,704.80 = 3,273.92 : x
  2. Step 2: Convert to fraction form
    8,468/12,704.80 = 3,273.92/x
  3. Step 3: Cross multiply
    8,468x = 12,704.80 × 3,273.92
  4. Step 4: Simplify right side
    8,468x = 41,594,498.82
  5. Step 5: Solve for x
    x = 41,594,498.82/8,468
  6. Step 6: Final answer
    x = 4,911.96

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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.