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Finding the Fourth Proportional to 3,716.82, 5,123.78 and 2,831.08

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Solution

The fourth proportional to 3,716.82, 5,123.78 and 2,831.08 is: 3,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.82 : 5,123.78 = 2,831.08 : x
  2. Step 2: Convert to fraction form
    3,716.82/5,123.78 = 2,831.08/x
  3. Step 3: Cross multiply
    3,716.82x = 5,123.78 × 2,831.08
  4. Step 4: Simplify right side
    3,716.82x = 14,505,831.08
  5. Step 5: Solve for x
    x = 14,505,831.08/3,716.82
  6. Step 6: Final answer
    x = 3,902.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.