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Finding the Fourth Proportional to 2,224, 3,336 and 1,128.40

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Solution

The fourth proportional to 2,224, 3,336 and 1,128.40 is: 1,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224 : 3,336 = 1,128.40 : x
  2. Step 2: Convert to fraction form
    2,224/3,336 = 1,128.40/x
  3. Step 3: Cross multiply
    2,224x = 3,336 × 1,128.40
  4. Step 4: Simplify right side
    2,224x = 3,764,342.40
  5. Step 5: Solve for x
    x = 3,764,342.40/2,224
  6. Step 6: Final answer
    x = 1,692.60

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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.