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Finding the Fourth Proportional to 2,936.66, 4,406.07 and 2,115.86

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Solution

The fourth proportional to 2,936.66, 4,406.07 and 2,115.86 is: 3,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.66 : 4,406.07 = 2,115.86 : x
  2. Step 2: Convert to fraction form
    2,936.66/4,406.07 = 2,115.86/x
  3. Step 3: Cross multiply
    2,936.66x = 4,406.07 × 2,115.86
  4. Step 4: Simplify right side
    2,936.66x = 9,322,627.27
  5. Step 5: Solve for x
    x = 9,322,627.27/2,936.66
  6. Step 6: Final answer
    x = 3,174.57

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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.