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Finding the Fourth Proportional to 3,783.28, 5,674.92 and 3,296.68

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Solution

The fourth proportional to 3,783.28, 5,674.92 and 3,296.68 is: 4,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.28 : 5,674.92 = 3,296.68 : x
  2. Step 2: Convert to fraction form
    3,783.28/5,674.92 = 3,296.68/x
  3. Step 3: Cross multiply
    3,783.28x = 5,674.92 × 3,296.68
  4. Step 4: Simplify right side
    3,783.28x = 18,708,395.27
  5. Step 5: Solve for x
    x = 18,708,395.27/3,783.28
  6. Step 6: Final answer
    x = 4,945.02

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1.5x scale

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.