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Finding the Fourth Proportional to 2,797.64, 4,198.62 and 1,259.72

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Solution

The fourth proportional to 2,797.64, 4,198.62 and 1,259.72 is: 1,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.64 : 4,198.62 = 1,259.72 : x
  2. Step 2: Convert to fraction form
    2,797.64/4,198.62 = 1,259.72/x
  3. Step 3: Cross multiply
    2,797.64x = 4,198.62 × 1,259.72
  4. Step 4: Simplify right side
    2,797.64x = 5,289,085.59
  5. Step 5: Solve for x
    x = 5,289,085.59/2,797.64
  6. Step 6: Final answer
    x = 1,890.55

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1.5x scale

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.