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Finding the Fourth Proportional to 20,879.81, 31,321.65 and 6,839.94

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Solution

The fourth proportional to 20,879.81, 31,321.65 and 6,839.94 is: 10,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.81 : 31,321.65 = 6,839.94 : x
  2. Step 2: Convert to fraction form
    20,879.81/31,321.65 = 6,839.94/x
  3. Step 3: Cross multiply
    20,879.81x = 31,321.65 × 6,839.94
  4. Step 4: Simplify right side
    20,879.81x = 214,238,206.70
  5. Step 5: Solve for x
    x = 214,238,206.70/20,879.81
  6. Step 6: Final answer
    x = 10,260.55

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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.