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Finding the Fourth Proportional to 3,293.70, 4,940.55 and 2,919.30

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Solution

The fourth proportional to 3,293.70, 4,940.55 and 2,919.30 is: 4,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.70 : 4,940.55 = 2,919.30 : x
  2. Step 2: Convert to fraction form
    3,293.70/4,940.55 = 2,919.30/x
  3. Step 3: Cross multiply
    3,293.70x = 4,940.55 × 2,919.30
  4. Step 4: Simplify right side
    3,293.70x = 14,422,947.62
  5. Step 5: Solve for x
    x = 14,422,947.62/3,293.70
  6. Step 6: Final answer
    x = 4,378.95

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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.