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Finding the Fourth Proportional to 1,942.66, 2,912.09 and 772.27

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Solution

The fourth proportional to 1,942.66, 2,912.09 and 772.27 is: 1,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.66 : 2,912.09 = 772.27 : x
  2. Step 2: Convert to fraction form
    1,942.66/2,912.09 = 772.27/x
  3. Step 3: Cross multiply
    1,942.66x = 2,912.09 × 772.27
  4. Step 4: Simplify right side
    1,942.66x = 2,248,919.74
  5. Step 5: Solve for x
    x = 2,248,919.74/1,942.66
  6. Step 6: Final answer
    x = 1,157.65

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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.