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Finding the Fourth Proportional to 13,380.73, 20,048.45 and 8,099.73

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Solution

The fourth proportional to 13,380.73, 20,048.45 and 8,099.73 is: 12,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.73 : 20,048.45 = 8,099.73 : x
  2. Step 2: Convert to fraction form
    13,380.73/20,048.45 = 8,099.73/x
  3. Step 3: Cross multiply
    13,380.73x = 20,048.45 × 8,099.73
  4. Step 4: Simplify right side
    13,380.73x = 162,386,991.42
  5. Step 5: Solve for x
    x = 162,386,991.42/13,380.73
  6. Step 6: Final answer
    x = 12,135.89

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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.