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Finding the Fourth Proportional to 1,942.12, 2,910.12 and 1,160.20

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Solution

The fourth proportional to 1,942.12, 2,910.12 and 1,160.20 is: 1,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.12 : 2,910.12 = 1,160.20 : x
  2. Step 2: Convert to fraction form
    1,942.12/2,910.12 = 1,160.20/x
  3. Step 3: Cross multiply
    1,942.12x = 2,910.12 × 1,160.20
  4. Step 4: Simplify right side
    1,942.12x = 3,376,321.22
  5. Step 5: Solve for x
    x = 3,376,321.22/1,942.12
  6. Step 6: Final answer
    x = 1,738.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.