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Finding the Fourth Proportional to 2,874.81, 4,311.82 and 1,119.04

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Solution

The fourth proportional to 2,874.81, 4,311.82 and 1,119.04 is: 1,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.81 : 4,311.82 = 1,119.04 : x
  2. Step 2: Convert to fraction form
    2,874.81/4,311.82 = 1,119.04/x
  3. Step 3: Cross multiply
    2,874.81x = 4,311.82 × 1,119.04
  4. Step 4: Simplify right side
    2,874.81x = 4,825,099.05
  5. Step 5: Solve for x
    x = 4,825,099.05/2,874.81
  6. Step 6: Final answer
    x = 1,678.41

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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.