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Finding the Fourth Proportional to 11,209.73, 16,809.73 and 3,812.20

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Solution

The fourth proportional to 11,209.73, 16,809.73 and 3,812.20 is: 5,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.73 : 16,809.73 = 3,812.20 : x
  2. Step 2: Convert to fraction form
    11,209.73/16,809.73 = 3,812.20/x
  3. Step 3: Cross multiply
    11,209.73x = 16,809.73 × 3,812.20
  4. Step 4: Simplify right side
    11,209.73x = 64,082,052.71
  5. Step 5: Solve for x
    x = 64,082,052.71/11,209.73
  6. Step 6: Final answer
    x = 5,716.65

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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.