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Finding the Fourth Proportional to 2,611.74, 3,917.81 and 762.81

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Solution

The fourth proportional to 2,611.74, 3,917.81 and 762.81 is: 1,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.74 : 3,917.81 = 762.81 : x
  2. Step 2: Convert to fraction form
    2,611.74/3,917.81 = 762.81/x
  3. Step 3: Cross multiply
    2,611.74x = 3,917.81 × 762.81
  4. Step 4: Simplify right side
    2,611.74x = 2,988,544.65
  5. Step 5: Solve for x
    x = 2,988,544.65/2,611.74
  6. Step 6: Final answer
    x = 1,144.27

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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.