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Finding the Fourth Proportional to 3,986.88, 5,977.89 and 1,519.07

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Solution

The fourth proportional to 3,986.88, 5,977.89 and 1,519.07 is: 2,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.88 : 5,977.89 = 1,519.07 : x
  2. Step 2: Convert to fraction form
    3,986.88/5,977.89 = 1,519.07/x
  3. Step 3: Cross multiply
    3,986.88x = 5,977.89 × 1,519.07
  4. Step 4: Simplify right side
    3,986.88x = 9,080,833.36
  5. Step 5: Solve for x
    x = 9,080,833.36/3,986.88
  6. Step 6: Final answer
    x = 2,277.68

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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.