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Finding the Fourth Proportional to 4,198, 6,297.02 and 1,120

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Solution

The fourth proportional to 4,198, 6,297.02 and 1,120 is: 1,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198 : 6,297.02 = 1,120 : x
  2. Step 2: Convert to fraction form
    4,198/6,297.02 = 1,120/x
  3. Step 3: Cross multiply
    4,198x = 6,297.02 × 1,120
  4. Step 4: Simplify right side
    4,198x = 7,052,662.40
  5. Step 5: Solve for x
    x = 7,052,662.40/4,198
  6. Step 6: Final answer
    x = 1,680.01

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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.