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Finding the Fourth Proportional to 7,744.50, 11,618.19 and 3,640.50

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Solution

The fourth proportional to 7,744.50, 11,618.19 and 3,640.50 is: 5,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.50 : 11,618.19 = 3,640.50 : x
  2. Step 2: Convert to fraction form
    7,744.50/11,618.19 = 3,640.50/x
  3. Step 3: Cross multiply
    7,744.50x = 11,618.19 × 3,640.50
  4. Step 4: Simplify right side
    7,744.50x = 42,296,020.70
  5. Step 5: Solve for x
    x = 42,296,020.70/7,744.50
  6. Step 6: Final answer
    x = 5,461.43

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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.