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Finding the Fourth Proportional to 2,728.96, 4,093.44 and 997.60

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Solution

The fourth proportional to 2,728.96, 4,093.44 and 997.60 is: 1,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.96 : 4,093.44 = 997.60 : x
  2. Step 2: Convert to fraction form
    2,728.96/4,093.44 = 997.60/x
  3. Step 3: Cross multiply
    2,728.96x = 4,093.44 × 997.60
  4. Step 4: Simplify right side
    2,728.96x = 4,083,615.74
  5. Step 5: Solve for x
    x = 4,083,615.74/2,728.96
  6. Step 6: Final answer
    x = 1,496.40

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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.