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Finding the Fourth Proportional to 2,778.64, 3,834.39 and 1,519.63

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Solution

The fourth proportional to 2,778.64, 3,834.39 and 1,519.63 is: 2,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.64 : 3,834.39 = 1,519.63 : x
  2. Step 2: Convert to fraction form
    2,778.64/3,834.39 = 1,519.63/x
  3. Step 3: Cross multiply
    2,778.64x = 3,834.39 × 1,519.63
  4. Step 4: Simplify right side
    2,778.64x = 5,826,854.08
  5. Step 5: Solve for x
    x = 5,826,854.08/2,778.64
  6. Step 6: Final answer
    x = 2,097.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.