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Finding the Fourth Proportional to 2,206.44, 3,309.57 and 907.88

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Solution

The fourth proportional to 2,206.44, 3,309.57 and 907.88 is: 1,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.44 : 3,309.57 = 907.88 : x
  2. Step 2: Convert to fraction form
    2,206.44/3,309.57 = 907.88/x
  3. Step 3: Cross multiply
    2,206.44x = 3,309.57 × 907.88
  4. Step 4: Simplify right side
    2,206.44x = 3,004,692.41
  5. Step 5: Solve for x
    x = 3,004,692.41/2,206.44
  6. Step 6: Final answer
    x = 1,361.78

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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.