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Finding the Fourth Proportional to 2,728.16, 3,764.81 and 2,505

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Solution

The fourth proportional to 2,728.16, 3,764.81 and 2,505 is: 3,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.16 : 3,764.81 = 2,505 : x
  2. Step 2: Convert to fraction form
    2,728.16/3,764.81 = 2,505/x
  3. Step 3: Cross multiply
    2,728.16x = 3,764.81 × 2,505
  4. Step 4: Simplify right side
    2,728.16x = 9,430,849.05
  5. Step 5: Solve for x
    x = 9,430,849.05/2,728.16
  6. Step 6: Final answer
    x = 3,456.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.