Home / 4,120.40-6,181-1,198.74

Finding the Fourth Proportional to 4,120.40, 6,181 and 1,198.74

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Solution

The fourth proportional to 4,120.40, 6,181 and 1,198.74 is: 1,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.40 : 6,181 = 1,198.74 : x
  2. Step 2: Convert to fraction form
    4,120.40/6,181 = 1,198.74/x
  3. Step 3: Cross multiply
    4,120.40x = 6,181 × 1,198.74
  4. Step 4: Simplify right side
    4,120.40x = 7,409,411.94
  5. Step 5: Solve for x
    x = 7,409,411.94/4,120.40
  6. Step 6: Final answer
    x = 1,798.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.