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Finding the Fourth Proportional to 2,698.42, 3,723.84 and 1,519.51

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Solution

The fourth proportional to 2,698.42, 3,723.84 and 1,519.51 is: 2,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.42 : 3,723.84 = 1,519.51 : x
  2. Step 2: Convert to fraction form
    2,698.42/3,723.84 = 1,519.51/x
  3. Step 3: Cross multiply
    2,698.42x = 3,723.84 × 1,519.51
  4. Step 4: Simplify right side
    2,698.42x = 5,658,412.12
  5. Step 5: Solve for x
    x = 5,658,412.12/2,698.42
  6. Step 6: Final answer
    x = 2,096.94

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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.