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Finding the Fourth Proportional to 2,761.67, 3,812.81 and 1,900.79

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Solution

The fourth proportional to 2,761.67, 3,812.81 and 1,900.79 is: 2,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.67 : 3,812.81 = 1,900.79 : x
  2. Step 2: Convert to fraction form
    2,761.67/3,812.81 = 1,900.79/x
  3. Step 3: Cross multiply
    2,761.67x = 3,812.81 × 1,900.79
  4. Step 4: Simplify right side
    2,761.67x = 7,247,351.12
  5. Step 5: Solve for x
    x = 7,247,351.12/2,761.67
  6. Step 6: Final answer
    x = 2,624.26

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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.