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Finding the Fourth Proportional to 13,805.73, 20,697.05 and 6,406.38

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Solution

The fourth proportional to 13,805.73, 20,697.05 and 6,406.38 is: 9,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.73 : 20,697.05 = 6,406.38 : x
  2. Step 2: Convert to fraction form
    13,805.73/20,697.05 = 6,406.38/x
  3. Step 3: Cross multiply
    13,805.73x = 20,697.05 × 6,406.38
  4. Step 4: Simplify right side
    13,805.73x = 132,593,183.19
  5. Step 5: Solve for x
    x = 132,593,183.19/13,805.73
  6. Step 6: Final answer
    x = 9,604.21

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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.