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Finding the Fourth Proportional to 2,205.21, 3,307.82 and 906.38

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Solution

The fourth proportional to 2,205.21, 3,307.82 and 906.38 is: 1,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.21 : 3,307.82 = 906.38 : x
  2. Step 2: Convert to fraction form
    2,205.21/3,307.82 = 906.38/x
  3. Step 3: Cross multiply
    2,205.21x = 3,307.82 × 906.38
  4. Step 4: Simplify right side
    2,205.21x = 2,998,120.82
  5. Step 5: Solve for x
    x = 2,998,120.82/2,205.21
  6. Step 6: Final answer
    x = 1,359.56

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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.