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Finding the Fourth Proportional to 13,771.96, 20,658.21 and 3,911.29

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Solution

The fourth proportional to 13,771.96, 20,658.21 and 3,911.29 is: 5,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.96 : 20,658.21 = 3,911.29 : x
  2. Step 2: Convert to fraction form
    13,771.96/20,658.21 = 3,911.29/x
  3. Step 3: Cross multiply
    13,771.96x = 20,658.21 × 3,911.29
  4. Step 4: Simplify right side
    13,771.96x = 80,800,250.19
  5. Step 5: Solve for x
    x = 80,800,250.19/13,771.96
  6. Step 6: Final answer
    x = 5,867.01

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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.