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Finding the Fourth Proportional to 3,919.33, 5,879 and 2,072.53

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Solution

The fourth proportional to 3,919.33, 5,879 and 2,072.53 is: 3,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.33 : 5,879 = 2,072.53 : x
  2. Step 2: Convert to fraction form
    3,919.33/5,879 = 2,072.53/x
  3. Step 3: Cross multiply
    3,919.33x = 5,879 × 2,072.53
  4. Step 4: Simplify right side
    3,919.33x = 12,184,403.87
  5. Step 5: Solve for x
    x = 12,184,403.87/3,919.33
  6. Step 6: Final answer
    x = 3,108.80

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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.