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Finding the Fourth Proportional to 1,942.56, 2,676.04 and 1,605.05

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Solution

The fourth proportional to 1,942.56, 2,676.04 and 1,605.05 is: 2,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.56 : 2,676.04 = 1,605.05 : x
  2. Step 2: Convert to fraction form
    1,942.56/2,676.04 = 1,605.05/x
  3. Step 3: Cross multiply
    1,942.56x = 2,676.04 × 1,605.05
  4. Step 4: Simplify right side
    1,942.56x = 4,295,181.93
  5. Step 5: Solve for x
    x = 4,295,181.93/1,942.56
  6. Step 6: Final answer
    x = 2,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.