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Finding the Fourth Proportional to 3,879.04, 5,350.64 and 2,306

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Solution

The fourth proportional to 3,879.04, 5,350.64 and 2,306 is: 3,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.04 : 5,350.64 = 2,306 : x
  2. Step 2: Convert to fraction form
    3,879.04/5,350.64 = 2,306/x
  3. Step 3: Cross multiply
    3,879.04x = 5,350.64 × 2,306
  4. Step 4: Simplify right side
    3,879.04x = 12,338,575.84
  5. Step 5: Solve for x
    x = 12,338,575.84/3,879.04
  6. Step 6: Final answer
    x = 3,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.