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Finding the Fourth Proportional to 3,211, 4,816.64 and 1,019.89

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Solution

The fourth proportional to 3,211, 4,816.64 and 1,019.89 is: 1,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 4,816.64 = 1,019.89 : x
  2. Step 2: Convert to fraction form
    3,211/4,816.64 = 1,019.89/x
  3. Step 3: Cross multiply
    3,211x = 4,816.64 × 1,019.89
  4. Step 4: Simplify right side
    3,211x = 4,912,442.97
  5. Step 5: Solve for x
    x = 4,912,442.97/3,211
  6. Step 6: Final answer
    x = 1,529.88

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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.