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Finding the Fourth Proportional to 1,361.98, 2,052.96 and 1,245.12

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Solution

The fourth proportional to 1,361.98, 2,052.96 and 1,245.12 is: 1,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.98 : 2,052.96 = 1,245.12 : x
  2. Step 2: Convert to fraction form
    1,361.98/2,052.96 = 1,245.12/x
  3. Step 3: Cross multiply
    1,361.98x = 2,052.96 × 1,245.12
  4. Step 4: Simplify right side
    1,361.98x = 2,556,181.56
  5. Step 5: Solve for x
    x = 2,556,181.56/1,361.98
  6. Step 6: Final answer
    x = 1,876.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.