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Finding the Fourth Proportional to 3,813.22, 5,719.77 and 2,779.78

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Solution

The fourth proportional to 3,813.22, 5,719.77 and 2,779.78 is: 4,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.22 : 5,719.77 = 2,779.78 : x
  2. Step 2: Convert to fraction form
    3,813.22/5,719.77 = 2,779.78/x
  3. Step 3: Cross multiply
    3,813.22x = 5,719.77 × 2,779.78
  4. Step 4: Simplify right side
    3,813.22x = 15,899,702.25
  5. Step 5: Solve for x
    x = 15,899,702.25/3,813.22
  6. Step 6: Final answer
    x = 4,169.63

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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.