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Finding the Fourth Proportional to 2,768.72, 3,813 and 2,549.84

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Solution

The fourth proportional to 2,768.72, 3,813 and 2,549.84 is: 3,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.72 : 3,813 = 2,549.84 : x
  2. Step 2: Convert to fraction form
    2,768.72/3,813 = 2,549.84/x
  3. Step 3: Cross multiply
    2,768.72x = 3,813 × 2,549.84
  4. Step 4: Simplify right side
    2,768.72x = 9,722,539.92
  5. Step 5: Solve for x
    x = 9,722,539.92/2,768.72
  6. Step 6: Final answer
    x = 3,511.56

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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.