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Finding the Fourth Proportional to 2,745.49, 4,119.20 and 896.60

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Solution

The fourth proportional to 2,745.49, 4,119.20 and 896.60 is: 1,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.49 : 4,119.20 = 896.60 : x
  2. Step 2: Convert to fraction form
    2,745.49/4,119.20 = 896.60/x
  3. Step 3: Cross multiply
    2,745.49x = 4,119.20 × 896.60
  4. Step 4: Simplify right side
    2,745.49x = 3,693,274.72
  5. Step 5: Solve for x
    x = 3,693,274.72/2,745.49
  6. Step 6: Final answer
    x = 1,345.22

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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.