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Finding the Fourth Proportional to 3,991.51, 5,986.88 and 1,882.64

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Solution

The fourth proportional to 3,991.51, 5,986.88 and 1,882.64 is: 2,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.51 : 5,986.88 = 1,882.64 : x
  2. Step 2: Convert to fraction form
    3,991.51/5,986.88 = 1,882.64/x
  3. Step 3: Cross multiply
    3,991.51x = 5,986.88 × 1,882.64
  4. Step 4: Simplify right side
    3,991.51x = 11,271,154.73
  5. Step 5: Solve for x
    x = 11,271,154.73/3,991.51
  6. Step 6: Final answer
    x = 2,823.79

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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.