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Finding the Fourth Proportional to 2,128.97, 3,193.41 and 648.19

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Solution

The fourth proportional to 2,128.97, 3,193.41 and 648.19 is: 972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.97 : 3,193.41 = 648.19 : x
  2. Step 2: Convert to fraction form
    2,128.97/3,193.41 = 648.19/x
  3. Step 3: Cross multiply
    2,128.97x = 3,193.41 × 648.19
  4. Step 4: Simplify right side
    2,128.97x = 2,069,942.85
  5. Step 5: Solve for x
    x = 2,069,942.85/2,128.97
  6. Step 6: Final answer
    x = 972.27

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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.