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Finding the Fourth Proportional to 30,081, 45,121.50 and 8,193

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Solution

The fourth proportional to 30,081, 45,121.50 and 8,193 is: 12,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,081 : 45,121.50 = 8,193 : x
  2. Step 2: Convert to fraction form
    30,081/45,121.50 = 8,193/x
  3. Step 3: Cross multiply
    30,081x = 45,121.50 × 8,193
  4. Step 4: Simplify right side
    30,081x = 369,680,449.50
  5. Step 5: Solve for x
    x = 369,680,449.50/30,081
  6. Step 6: Final answer
    x = 12,289.50

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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.