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Finding the Fourth Proportional to 2,831.58, 3,903 and 2,112.54

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Solution

The fourth proportional to 2,831.58, 3,903 and 2,112.54 is: 2,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.58 : 3,903 = 2,112.54 : x
  2. Step 2: Convert to fraction form
    2,831.58/3,903 = 2,112.54/x
  3. Step 3: Cross multiply
    2,831.58x = 3,903 × 2,112.54
  4. Step 4: Simplify right side
    2,831.58x = 8,245,243.62
  5. Step 5: Solve for x
    x = 8,245,243.62/2,831.58
  6. Step 6: Final answer
    x = 2,911.89

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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.