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Finding the Fourth Proportional to 2,768.51, 3,821.12 and 2,680.73

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Solution

The fourth proportional to 2,768.51, 3,821.12 and 2,680.73 is: 3,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.51 : 3,821.12 = 2,680.73 : x
  2. Step 2: Convert to fraction form
    2,768.51/3,821.12 = 2,680.73/x
  3. Step 3: Cross multiply
    2,768.51x = 3,821.12 × 2,680.73
  4. Step 4: Simplify right side
    2,768.51x = 10,243,358.51
  5. Step 5: Solve for x
    x = 10,243,358.51/2,768.51
  6. Step 6: Final answer
    x = 3,699.96

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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.