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Finding the Fourth Proportional to 2,727.28, 4,090.83 and 779.49

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Solution

The fourth proportional to 2,727.28, 4,090.83 and 779.49 is: 1,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.28 : 4,090.83 = 779.49 : x
  2. Step 2: Convert to fraction form
    2,727.28/4,090.83 = 779.49/x
  3. Step 3: Cross multiply
    2,727.28x = 4,090.83 × 779.49
  4. Step 4: Simplify right side
    2,727.28x = 3,188,740.62
  5. Step 5: Solve for x
    x = 3,188,740.62/2,727.28
  6. Step 6: Final answer
    x = 1,169.20

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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.