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Finding the Fourth Proportional to 3,834, 5,751 and 1,237.20

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Solution

The fourth proportional to 3,834, 5,751 and 1,237.20 is: 1,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,751 = 1,237.20 : x
  2. Step 2: Convert to fraction form
    3,834/5,751 = 1,237.20/x
  3. Step 3: Cross multiply
    3,834x = 5,751 × 1,237.20
  4. Step 4: Simplify right side
    3,834x = 7,115,137.20
  5. Step 5: Solve for x
    x = 7,115,137.20/3,834
  6. Step 6: Final answer
    x = 1,855.80

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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.