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Finding the Fourth Proportional to 2,745.22, 4,114.38 and 1,961.14

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Solution

The fourth proportional to 2,745.22, 4,114.38 and 1,961.14 is: 2,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.22 : 4,114.38 = 1,961.14 : x
  2. Step 2: Convert to fraction form
    2,745.22/4,114.38 = 1,961.14/x
  3. Step 3: Cross multiply
    2,745.22x = 4,114.38 × 1,961.14
  4. Step 4: Simplify right side
    2,745.22x = 8,068,875.19
  5. Step 5: Solve for x
    x = 8,068,875.19/2,745.22
  6. Step 6: Final answer
    x = 2,939.25

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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.