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Finding the Fourth Proportional to 3,561.78, 5,343.75 and 1,831.62

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Solution

The fourth proportional to 3,561.78, 5,343.75 and 1,831.62 is: 2,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.78 : 5,343.75 = 1,831.62 : x
  2. Step 2: Convert to fraction form
    3,561.78/5,343.75 = 1,831.62/x
  3. Step 3: Cross multiply
    3,561.78x = 5,343.75 × 1,831.62
  4. Step 4: Simplify right side
    3,561.78x = 9,787,719.38
  5. Step 5: Solve for x
    x = 9,787,719.38/3,561.78
  6. Step 6: Final answer
    x = 2,747.99

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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.