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Finding the Fourth Proportional to 2,198.84, 3,299.40 and 965.84

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Solution

The fourth proportional to 2,198.84, 3,299.40 and 965.84 is: 1,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.84 : 3,299.40 = 965.84 : x
  2. Step 2: Convert to fraction form
    2,198.84/3,299.40 = 965.84/x
  3. Step 3: Cross multiply
    2,198.84x = 3,299.40 × 965.84
  4. Step 4: Simplify right side
    2,198.84x = 3,186,692.50
  5. Step 5: Solve for x
    x = 3,186,692.50/2,198.84
  6. Step 6: Final answer
    x = 1,449.26

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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.