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Finding the Fourth Proportional to 2,680.50, 4,019.02 and 1,120.09

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Solution

The fourth proportional to 2,680.50, 4,019.02 and 1,120.09 is: 1,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.50 : 4,019.02 = 1,120.09 : x
  2. Step 2: Convert to fraction form
    2,680.50/4,019.02 = 1,120.09/x
  3. Step 3: Cross multiply
    2,680.50x = 4,019.02 × 1,120.09
  4. Step 4: Simplify right side
    2,680.50x = 4,501,664.11
  5. Step 5: Solve for x
    x = 4,501,664.11/2,680.50
  6. Step 6: Final answer
    x = 1,679.41

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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.