Home / 4,122.32-6,183.74-1,200.38

Finding the Fourth Proportional to 4,122.32, 6,183.74 and 1,200.38

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Solution

The fourth proportional to 4,122.32, 6,183.74 and 1,200.38 is: 1,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.32 : 6,183.74 = 1,200.38 : x
  2. Step 2: Convert to fraction form
    4,122.32/6,183.74 = 1,200.38/x
  3. Step 3: Cross multiply
    4,122.32x = 6,183.74 × 1,200.38
  4. Step 4: Simplify right side
    4,122.32x = 7,422,809.90
  5. Step 5: Solve for x
    x = 7,422,809.90/4,122.32
  6. Step 6: Final answer
    x = 1,800.64

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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.