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Finding the Fourth Proportional to 2,745.28, 4,118.33 and 797.64

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Solution

The fourth proportional to 2,745.28, 4,118.33 and 797.64 is: 1,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.28 : 4,118.33 = 797.64 : x
  2. Step 2: Convert to fraction form
    2,745.28/4,118.33 = 797.64/x
  3. Step 3: Cross multiply
    2,745.28x = 4,118.33 × 797.64
  4. Step 4: Simplify right side
    2,745.28x = 3,284,944.74
  5. Step 5: Solve for x
    x = 3,284,944.74/2,745.28
  6. Step 6: Final answer
    x = 1,196.58

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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.