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Finding the Fourth Proportional to 2,618.85, 3,924.79 and 1,922.25

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Solution

The fourth proportional to 2,618.85, 3,924.79 and 1,922.25 is: 2,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.85 : 3,924.79 = 1,922.25 : x
  2. Step 2: Convert to fraction form
    2,618.85/3,924.79 = 1,922.25/x
  3. Step 3: Cross multiply
    2,618.85x = 3,924.79 × 1,922.25
  4. Step 4: Simplify right side
    2,618.85x = 7,544,415.41
  5. Step 5: Solve for x
    x = 7,544,415.41/2,618.85
  6. Step 6: Final answer
    x = 2,880.81

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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.