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Finding the Fourth Proportional to 5,814.70, 8,722.01 and 1,919.42

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Solution

The fourth proportional to 5,814.70, 8,722.01 and 1,919.42 is: 2,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.70 : 8,722.01 = 1,919.42 : x
  2. Step 2: Convert to fraction form
    5,814.70/8,722.01 = 1,919.42/x
  3. Step 3: Cross multiply
    5,814.70x = 8,722.01 × 1,919.42
  4. Step 4: Simplify right side
    5,814.70x = 16,741,200.43
  5. Step 5: Solve for x
    x = 16,741,200.43/5,814.70
  6. Step 6: Final answer
    x = 2,879.12

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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.