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Finding the Fourth Proportional to 20,873.69, 31,314.91 and 6,832.61

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Solution

The fourth proportional to 20,873.69, 31,314.91 and 6,832.61 is: 10,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.69 : 31,314.91 = 6,832.61 : x
  2. Step 2: Convert to fraction form
    20,873.69/31,314.91 = 6,832.61/x
  3. Step 3: Cross multiply
    20,873.69x = 31,314.91 × 6,832.61
  4. Step 4: Simplify right side
    20,873.69x = 213,962,529.00
  5. Step 5: Solve for x
    x = 213,962,529.00/20,873.69
  6. Step 6: Final answer
    x = 10,250.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.