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Finding the Fourth Proportional to 2,796.82, 4,195.36 and 1,978.75

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Solution

The fourth proportional to 2,796.82, 4,195.36 and 1,978.75 is: 2,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.82 : 4,195.36 = 1,978.75 : x
  2. Step 2: Convert to fraction form
    2,796.82/4,195.36 = 1,978.75/x
  3. Step 3: Cross multiply
    2,796.82x = 4,195.36 × 1,978.75
  4. Step 4: Simplify right side
    2,796.82x = 8,301,563.65
  5. Step 5: Solve for x
    x = 8,301,563.65/2,796.82
  6. Step 6: Final answer
    x = 2,968.22

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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.