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Finding the Fourth Proportional to 4,120.56, 6,181.56 and 1,812

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Solution

The fourth proportional to 4,120.56, 6,181.56 and 1,812 is: 2,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.56 : 6,181.56 = 1,812 : x
  2. Step 2: Convert to fraction form
    4,120.56/6,181.56 = 1,812/x
  3. Step 3: Cross multiply
    4,120.56x = 6,181.56 × 1,812
  4. Step 4: Simplify right side
    4,120.56x = 11,200,986.72
  5. Step 5: Solve for x
    x = 11,200,986.72/4,120.56
  6. Step 6: Final answer
    x = 2,718.32

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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.