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Finding the Fourth Proportional to 2,418.09, 3,627.17 and 774.64

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Solution

The fourth proportional to 2,418.09, 3,627.17 and 774.64 is: 1,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.09 : 3,627.17 = 774.64 : x
  2. Step 2: Convert to fraction form
    2,418.09/3,627.17 = 774.64/x
  3. Step 3: Cross multiply
    2,418.09x = 3,627.17 × 774.64
  4. Step 4: Simplify right side
    2,418.09x = 2,809,728.96
  5. Step 5: Solve for x
    x = 2,809,728.96/2,418.09
  6. Step 6: Final answer
    x = 1,161.96

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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.