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Finding the Fourth Proportional to 3,019, 4,528.50 and 967

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Solution

The fourth proportional to 3,019, 4,528.50 and 967 is: 1,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019 : 4,528.50 = 967 : x
  2. Step 2: Convert to fraction form
    3,019/4,528.50 = 967/x
  3. Step 3: Cross multiply
    3,019x = 4,528.50 × 967
  4. Step 4: Simplify right side
    3,019x = 4,379,059.50
  5. Step 5: Solve for x
    x = 4,379,059.50/3,019
  6. Step 6: Final answer
    x = 1,450.50

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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.