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Finding the Fourth Proportional to 2,553.43, 3,831.11 and 1,739.38

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Solution

The fourth proportional to 2,553.43, 3,831.11 and 1,739.38 is: 2,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.43 : 3,831.11 = 1,739.38 : x
  2. Step 2: Convert to fraction form
    2,553.43/3,831.11 = 1,739.38/x
  3. Step 3: Cross multiply
    2,553.43x = 3,831.11 × 1,739.38
  4. Step 4: Simplify right side
    2,553.43x = 6,663,756.11
  5. Step 5: Solve for x
    x = 6,663,756.11/2,553.43
  6. Step 6: Final answer
    x = 2,609.73

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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.