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Finding the Fourth Proportional to 13,811.21, 20,713.02 and 3,813.56

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Solution

The fourth proportional to 13,811.21, 20,713.02 and 3,813.56 is: 5,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.21 : 20,713.02 = 3,813.56 : x
  2. Step 2: Convert to fraction form
    13,811.21/20,713.02 = 3,813.56/x
  3. Step 3: Cross multiply
    13,811.21x = 20,713.02 × 3,813.56
  4. Step 4: Simplify right side
    13,811.21x = 78,990,240.99
  5. Step 5: Solve for x
    x = 78,990,240.99/13,811.21
  6. Step 6: Final answer
    x = 5,719.29

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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.