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Finding the Fourth Proportional to 2,831.76, 3,906.24 and 1,770.24

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Solution

The fourth proportional to 2,831.76, 3,906.24 and 1,770.24 is: 2,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.76 : 3,906.24 = 1,770.24 : x
  2. Step 2: Convert to fraction form
    2,831.76/3,906.24 = 1,770.24/x
  3. Step 3: Cross multiply
    2,831.76x = 3,906.24 × 1,770.24
  4. Step 4: Simplify right side
    2,831.76x = 6,914,982.30
  5. Step 5: Solve for x
    x = 6,914,982.30/2,831.76
  6. Step 6: Final answer
    x = 2,441.94

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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.