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Finding the Fourth Proportional to 3,691.86, 5,536.57 and 1,226.01

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Solution

The fourth proportional to 3,691.86, 5,536.57 and 1,226.01 is: 1,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.86 : 5,536.57 = 1,226.01 : x
  2. Step 2: Convert to fraction form
    3,691.86/5,536.57 = 1,226.01/x
  3. Step 3: Cross multiply
    3,691.86x = 5,536.57 × 1,226.01
  4. Step 4: Simplify right side
    3,691.86x = 6,787,890.19
  5. Step 5: Solve for x
    x = 6,787,890.19/3,691.86
  6. Step 6: Final answer
    x = 1,838.61

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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.