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Finding the Fourth Proportional to 3,691.41, 5,534.73 and 1,815.99

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Solution

The fourth proportional to 3,691.41, 5,534.73 and 1,815.99 is: 2,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.41 : 5,534.73 = 1,815.99 : x
  2. Step 2: Convert to fraction form
    3,691.41/5,534.73 = 1,815.99/x
  3. Step 3: Cross multiply
    3,691.41x = 5,534.73 × 1,815.99
  4. Step 4: Simplify right side
    3,691.41x = 10,051,014.33
  5. Step 5: Solve for x
    x = 10,051,014.33/3,691.41
  6. Step 6: Final answer
    x = 2,722.81

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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.