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Finding the Fourth Proportional to 1,227.56, 1,842.14 and 919.96

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Solution

The fourth proportional to 1,227.56, 1,842.14 and 919.96 is: 1,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.56 : 1,842.14 = 919.96 : x
  2. Step 2: Convert to fraction form
    1,227.56/1,842.14 = 919.96/x
  3. Step 3: Cross multiply
    1,227.56x = 1,842.14 × 919.96
  4. Step 4: Simplify right side
    1,227.56x = 1,694,692.81
  5. Step 5: Solve for x
    x = 1,694,692.81/1,227.56
  6. Step 6: Final answer
    x = 1,380.54

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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.