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Finding the Fourth Proportional to 2,645.58, 3,968.09 and 796.28

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Solution

The fourth proportional to 2,645.58, 3,968.09 and 796.28 is: 1,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.58 : 3,968.09 = 796.28 : x
  2. Step 2: Convert to fraction form
    2,645.58/3,968.09 = 796.28/x
  3. Step 3: Cross multiply
    2,645.58x = 3,968.09 × 796.28
  4. Step 4: Simplify right side
    2,645.58x = 3,159,712.19
  5. Step 5: Solve for x
    x = 3,159,712.19/2,645.58
  6. Step 6: Final answer
    x = 1,194.34

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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.