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Finding the Fourth Proportional to 10,122.50, 15,183.75 and 3,197

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Solution

The fourth proportional to 10,122.50, 15,183.75 and 3,197 is: 4,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.50 : 15,183.75 = 3,197 : x
  2. Step 2: Convert to fraction form
    10,122.50/15,183.75 = 3,197/x
  3. Step 3: Cross multiply
    10,122.50x = 15,183.75 × 3,197
  4. Step 4: Simplify right side
    10,122.50x = 48,542,448.75
  5. Step 5: Solve for x
    x = 48,542,448.75/10,122.50
  6. Step 6: Final answer
    x = 4,795.50

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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.