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Finding the Fourth Proportional to 3,818.91, 5,729.23 and 1,738.36

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Solution

The fourth proportional to 3,818.91, 5,729.23 and 1,738.36 is: 2,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.91 : 5,729.23 = 1,738.36 : x
  2. Step 2: Convert to fraction form
    3,818.91/5,729.23 = 1,738.36/x
  3. Step 3: Cross multiply
    3,818.91x = 5,729.23 × 1,738.36
  4. Step 4: Simplify right side
    3,818.91x = 9,959,431.59
  5. Step 5: Solve for x
    x = 9,959,431.59/3,818.91
  6. Step 6: Final answer
    x = 2,607.93

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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.