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Finding the Fourth Proportional to 2,638.69, 3,957.93 and 664.33

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Solution

The fourth proportional to 2,638.69, 3,957.93 and 664.33 is: 996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.69 : 3,957.93 = 664.33 : x
  2. Step 2: Convert to fraction form
    2,638.69/3,957.93 = 664.33/x
  3. Step 3: Cross multiply
    2,638.69x = 3,957.93 × 664.33
  4. Step 4: Simplify right side
    2,638.69x = 2,629,371.64
  5. Step 5: Solve for x
    x = 2,629,371.64/2,638.69
  6. Step 6: Final answer
    x = 996.47

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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.