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Finding the Fourth Proportional to 2,806.50, 4,211.67 and 982.50

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Solution

The fourth proportional to 2,806.50, 4,211.67 and 982.50 is: 1,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.50 : 4,211.67 = 982.50 : x
  2. Step 2: Convert to fraction form
    2,806.50/4,211.67 = 982.50/x
  3. Step 3: Cross multiply
    2,806.50x = 4,211.67 × 982.50
  4. Step 4: Simplify right side
    2,806.50x = 4,137,965.78
  5. Step 5: Solve for x
    x = 4,137,965.78/2,806.50
  6. Step 6: Final answer
    x = 1,474.42

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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.