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Finding the Fourth Proportional to 13,914.81, 20,879.06 and 6,517.99

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Solution

The fourth proportional to 13,914.81, 20,879.06 and 6,517.99 is: 9,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.81 : 20,879.06 = 6,517.99 : x
  2. Step 2: Convert to fraction form
    13,914.81/20,879.06 = 6,517.99/x
  3. Step 3: Cross multiply
    13,914.81x = 20,879.06 × 6,517.99
  4. Step 4: Simplify right side
    13,914.81x = 136,089,504.29
  5. Step 5: Solve for x
    x = 136,089,504.29/13,914.81
  6. Step 6: Final answer
    x = 9,780.19

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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.