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Finding the Fourth Proportional to 13,817.76, 20,709.29 and 5,910.99

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Solution

The fourth proportional to 13,817.76, 20,709.29 and 5,910.99 is: 8,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.76 : 20,709.29 = 5,910.99 : x
  2. Step 2: Convert to fraction form
    13,817.76/20,709.29 = 5,910.99/x
  3. Step 3: Cross multiply
    13,817.76x = 20,709.29 × 5,910.99
  4. Step 4: Simplify right side
    13,817.76x = 122,412,406.10
  5. Step 5: Solve for x
    x = 122,412,406.10/13,817.76
  6. Step 6: Final answer
    x = 8,859.06

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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.