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Finding the Fourth Proportional to 3,478.55, 5,219.64 and 1,919.80

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Solution

The fourth proportional to 3,478.55, 5,219.64 and 1,919.80 is: 2,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.55 : 5,219.64 = 1,919.80 : x
  2. Step 2: Convert to fraction form
    3,478.55/5,219.64 = 1,919.80/x
  3. Step 3: Cross multiply
    3,478.55x = 5,219.64 × 1,919.80
  4. Step 4: Simplify right side
    3,478.55x = 10,020,671.40
  5. Step 5: Solve for x
    x = 10,020,671.40/3,478.55
  6. Step 6: Final answer
    x = 2,880.71

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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.