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Finding the Fourth Proportional to 3,815.09, 5,723.09 and 1,349.41

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Solution

The fourth proportional to 3,815.09, 5,723.09 and 1,349.41 is: 2,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.09 : 5,723.09 = 1,349.41 : x
  2. Step 2: Convert to fraction form
    3,815.09/5,723.09 = 1,349.41/x
  3. Step 3: Cross multiply
    3,815.09x = 5,723.09 × 1,349.41
  4. Step 4: Simplify right side
    3,815.09x = 7,722,783.94
  5. Step 5: Solve for x
    x = 7,722,783.94/3,815.09
  6. Step 6: Final answer
    x = 2,024.27

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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.