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Finding the Fourth Proportional to 3,574.78, 5,361.68 and 2,013.78

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Solution

The fourth proportional to 3,574.78, 5,361.68 and 2,013.78 is: 3,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.78 : 5,361.68 = 2,013.78 : x
  2. Step 2: Convert to fraction form
    3,574.78/5,361.68 = 2,013.78/x
  3. Step 3: Cross multiply
    3,574.78x = 5,361.68 × 2,013.78
  4. Step 4: Simplify right side
    3,574.78x = 10,797,243.95
  5. Step 5: Solve for x
    x = 10,797,243.95/3,574.78
  6. Step 6: Final answer
    x = 3,020.39

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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.