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Finding the Fourth Proportional to 7,205.67, 10,809.09 and 2,209.14

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Solution

The fourth proportional to 7,205.67, 10,809.09 and 2,209.14 is: 3,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.67 : 10,809.09 = 2,209.14 : x
  2. Step 2: Convert to fraction form
    7,205.67/10,809.09 = 2,209.14/x
  3. Step 3: Cross multiply
    7,205.67x = 10,809.09 × 2,209.14
  4. Step 4: Simplify right side
    7,205.67x = 23,878,793.08
  5. Step 5: Solve for x
    x = 23,878,793.08/7,205.67
  6. Step 6: Final answer
    x = 3,313.89

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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.