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Finding the Fourth Proportional to 3,764.07, 5,635.53 and 1,911.29

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Solution

The fourth proportional to 3,764.07, 5,635.53 and 1,911.29 is: 2,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.07 : 5,635.53 = 1,911.29 : x
  2. Step 2: Convert to fraction form
    3,764.07/5,635.53 = 1,911.29/x
  3. Step 3: Cross multiply
    3,764.07x = 5,635.53 × 1,911.29
  4. Step 4: Simplify right side
    3,764.07x = 10,771,103.96
  5. Step 5: Solve for x
    x = 10,771,103.96/3,764.07
  6. Step 6: Final answer
    x = 2,861.56

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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.