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Finding the Fourth Proportional to 13,813.14, 20,721.92 and 5,493.22

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Solution

The fourth proportional to 13,813.14, 20,721.92 and 5,493.22 is: 8,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.14 : 20,721.92 = 5,493.22 : x
  2. Step 2: Convert to fraction form
    13,813.14/20,721.92 = 5,493.22/x
  3. Step 3: Cross multiply
    13,813.14x = 20,721.92 × 5,493.22
  4. Step 4: Simplify right side
    13,813.14x = 113,830,065.38
  5. Step 5: Solve for x
    x = 113,830,065.38/13,813.14
  6. Step 6: Final answer
    x = 8,240.71

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1.5x scale

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.