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Finding the Fourth Proportional to 13,814.25, 20,696.81 and 7,958.76

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Solution

The fourth proportional to 13,814.25, 20,696.81 and 7,958.76 is: 11,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.25 : 20,696.81 = 7,958.76 : x
  2. Step 2: Convert to fraction form
    13,814.25/20,696.81 = 7,958.76/x
  3. Step 3: Cross multiply
    13,814.25x = 20,696.81 × 7,958.76
  4. Step 4: Simplify right side
    13,814.25x = 164,720,903.76
  5. Step 5: Solve for x
    x = 164,720,903.76/13,814.25
  6. Step 6: Final answer
    x = 11,923.98

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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.