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Finding the Fourth Proportional to 2,511.07, 3,766.56 and 779.69

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Solution

The fourth proportional to 2,511.07, 3,766.56 and 779.69 is: 1,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.07 : 3,766.56 = 779.69 : x
  2. Step 2: Convert to fraction form
    2,511.07/3,766.56 = 779.69/x
  3. Step 3: Cross multiply
    2,511.07x = 3,766.56 × 779.69
  4. Step 4: Simplify right side
    2,511.07x = 2,936,745.27
  5. Step 5: Solve for x
    x = 2,936,745.27/2,511.07
  6. Step 6: Final answer
    x = 1,169.52

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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.