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Finding the Fourth Proportional to 13,829, 20,737 and 5,057.76

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Solution

The fourth proportional to 13,829, 20,737 and 5,057.76 is: 7,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829 : 20,737 = 5,057.76 : x
  2. Step 2: Convert to fraction form
    13,829/20,737 = 5,057.76/x
  3. Step 3: Cross multiply
    13,829x = 20,737 × 5,057.76
  4. Step 4: Simplify right side
    13,829x = 104,882,769.12
  5. Step 5: Solve for x
    x = 104,882,769.12/13,829
  6. Step 6: Final answer
    x = 7,584.26

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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.