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Finding the Fourth Proportional to 13,843.96, 20,771.11 and 8,301.29

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Solution

The fourth proportional to 13,843.96, 20,771.11 and 8,301.29 is: 12,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.96 : 20,771.11 = 8,301.29 : x
  2. Step 2: Convert to fraction form
    13,843.96/20,771.11 = 8,301.29/x
  3. Step 3: Cross multiply
    13,843.96x = 20,771.11 × 8,301.29
  4. Step 4: Simplify right side
    13,843.96x = 172,426,890.91
  5. Step 5: Solve for x
    x = 172,426,890.91/13,843.96
  6. Step 6: Final answer
    x = 12,455.02

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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.