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Finding the Fourth Proportional to 3,781.56, 5,668.74 and 1,831.08

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Solution

The fourth proportional to 3,781.56, 5,668.74 and 1,831.08 is: 2,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.56 : 5,668.74 = 1,831.08 : x
  2. Step 2: Convert to fraction form
    3,781.56/5,668.74 = 1,831.08/x
  3. Step 3: Cross multiply
    3,781.56x = 5,668.74 × 1,831.08
  4. Step 4: Simplify right side
    3,781.56x = 10,379,916.44
  5. Step 5: Solve for x
    x = 10,379,916.44/3,781.56
  6. Step 6: Final answer
    x = 2,744.88

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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.