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Finding the Fourth Proportional to 3,223, 4,836.66 and 1,171

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Solution

The fourth proportional to 3,223, 4,836.66 and 1,171 is: 1,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223 : 4,836.66 = 1,171 : x
  2. Step 2: Convert to fraction form
    3,223/4,836.66 = 1,171/x
  3. Step 3: Cross multiply
    3,223x = 4,836.66 × 1,171
  4. Step 4: Simplify right side
    3,223x = 5,663,728.86
  5. Step 5: Solve for x
    x = 5,663,728.86/3,223
  6. Step 6: Final answer
    x = 1,757.28

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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.