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Finding the Fourth Proportional to 3,228.92, 4,456.08 and 1,831.64

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Solution

The fourth proportional to 3,228.92, 4,456.08 and 1,831.64 is: 2,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.92 : 4,456.08 = 1,831.64 : x
  2. Step 2: Convert to fraction form
    3,228.92/4,456.08 = 1,831.64/x
  3. Step 3: Cross multiply
    3,228.92x = 4,456.08 × 1,831.64
  4. Step 4: Simplify right side
    3,228.92x = 8,161,934.37
  5. Step 5: Solve for x
    x = 8,161,934.37/3,228.92
  6. Step 6: Final answer
    x = 2,527.76

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Double scale
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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.