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Finding the Fourth Proportional to 2,698.78, 3,724.26 and 1,519.84

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Solution

The fourth proportional to 2,698.78, 3,724.26 and 1,519.84 is: 2,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.78 : 3,724.26 = 1,519.84 : x
  2. Step 2: Convert to fraction form
    2,698.78/3,724.26 = 1,519.84/x
  3. Step 3: Cross multiply
    2,698.78x = 3,724.26 × 1,519.84
  4. Step 4: Simplify right side
    2,698.78x = 5,660,279.32
  5. Step 5: Solve for x
    x = 5,660,279.32/2,698.78
  6. Step 6: Final answer
    x = 2,097.35

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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.