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Finding the Fourth Proportional to 13,810.73, 20,734.16 and 8,198.64

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Solution

The fourth proportional to 13,810.73, 20,734.16 and 8,198.64 is: 12,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.73 : 20,734.16 = 8,198.64 : x
  2. Step 2: Convert to fraction form
    13,810.73/20,734.16 = 8,198.64/x
  3. Step 3: Cross multiply
    13,810.73x = 20,734.16 × 8,198.64
  4. Step 4: Simplify right side
    13,810.73x = 169,991,872.55
  5. Step 5: Solve for x
    x = 169,991,872.55/13,810.73
  6. Step 6: Final answer
    x = 12,308.69

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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.