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Finding the Fourth Proportional to 2,147.25, 3,221.36 and 779.25

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Solution

The fourth proportional to 2,147.25, 3,221.36 and 779.25 is: 1,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.25 : 3,221.36 = 779.25 : x
  2. Step 2: Convert to fraction form
    2,147.25/3,221.36 = 779.25/x
  3. Step 3: Cross multiply
    2,147.25x = 3,221.36 × 779.25
  4. Step 4: Simplify right side
    2,147.25x = 2,510,240.88
  5. Step 5: Solve for x
    x = 2,510,240.88/2,147.25
  6. Step 6: Final answer
    x = 1,169.05

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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.