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Finding the Fourth Proportional to 3,835.72, 5,753.22 and 1,238.68

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Solution

The fourth proportional to 3,835.72, 5,753.22 and 1,238.68 is: 1,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.72 : 5,753.22 = 1,238.68 : x
  2. Step 2: Convert to fraction form
    3,835.72/5,753.22 = 1,238.68/x
  3. Step 3: Cross multiply
    3,835.72x = 5,753.22 × 1,238.68
  4. Step 4: Simplify right side
    3,835.72x = 7,126,398.55
  5. Step 5: Solve for x
    x = 7,126,398.55/3,835.72
  6. Step 6: Final answer
    x = 1,857.90

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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.