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Finding the Fourth Proportional to 3,942.44, 5,914 and 1,020.80

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Solution

The fourth proportional to 3,942.44, 5,914 and 1,020.80 is: 1,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.44 : 5,914 = 1,020.80 : x
  2. Step 2: Convert to fraction form
    3,942.44/5,914 = 1,020.80/x
  3. Step 3: Cross multiply
    3,942.44x = 5,914 × 1,020.80
  4. Step 4: Simplify right side
    3,942.44x = 6,037,011.20
  5. Step 5: Solve for x
    x = 6,037,011.20/3,942.44
  6. Step 6: Final answer
    x = 1,531.29

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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.