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Finding the Fourth Proportional to 3,812.78, 5,700.38 and 3,234.24

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Solution

The fourth proportional to 3,812.78, 5,700.38 and 3,234.24 is: 4,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.78 : 5,700.38 = 3,234.24 : x
  2. Step 2: Convert to fraction form
    3,812.78/5,700.38 = 3,234.24/x
  3. Step 3: Cross multiply
    3,812.78x = 5,700.38 × 3,234.24
  4. Step 4: Simplify right side
    3,812.78x = 18,436,397.01
  5. Step 5: Solve for x
    x = 18,436,397.01/3,812.78
  6. Step 6: Final answer
    x = 4,835.42

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1.5x scale

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.