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Finding the Fourth Proportional to 2,183.20, 3,274.88 and 722.32

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Solution

The fourth proportional to 2,183.20, 3,274.88 and 722.32 is: 1,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.20 : 3,274.88 = 722.32 : x
  2. Step 2: Convert to fraction form
    2,183.20/3,274.88 = 722.32/x
  3. Step 3: Cross multiply
    2,183.20x = 3,274.88 × 722.32
  4. Step 4: Simplify right side
    2,183.20x = 2,365,503.59
  5. Step 5: Solve for x
    x = 2,365,503.59/2,183.20
  6. Step 6: Final answer
    x = 1,083.50

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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.