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Finding the Fourth Proportional to 2,128.70, 3,193.36 and 668

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Solution

The fourth proportional to 2,128.70, 3,193.36 and 668 is: 1,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.70 : 3,193.36 = 668 : x
  2. Step 2: Convert to fraction form
    2,128.70/3,193.36 = 668/x
  3. Step 3: Cross multiply
    2,128.70x = 3,193.36 × 668
  4. Step 4: Simplify right side
    2,128.70x = 2,133,164.48
  5. Step 5: Solve for x
    x = 2,133,164.48/2,128.70
  6. Step 6: Final answer
    x = 1,002.10

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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.