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Finding the Fourth Proportional to 8,193, 12,289.50 and 2,721

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Solution

The fourth proportional to 8,193, 12,289.50 and 2,721 is: 4,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193 : 12,289.50 = 2,721 : x
  2. Step 2: Convert to fraction form
    8,193/12,289.50 = 2,721/x
  3. Step 3: Cross multiply
    8,193x = 12,289.50 × 2,721
  4. Step 4: Simplify right side
    8,193x = 33,439,729.50
  5. Step 5: Solve for x
    x = 33,439,729.50/8,193
  6. Step 6: Final answer
    x = 4,081.50

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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.