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Finding the Fourth Proportional to 3,975.29, 5,964.63 and 1,999.88

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Solution

The fourth proportional to 3,975.29, 5,964.63 and 1,999.88 is: 3,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.29 : 5,964.63 = 1,999.88 : x
  2. Step 2: Convert to fraction form
    3,975.29/5,964.63 = 1,999.88/x
  3. Step 3: Cross multiply
    3,975.29x = 5,964.63 × 1,999.88
  4. Step 4: Simplify right side
    3,975.29x = 11,928,544.24
  5. Step 5: Solve for x
    x = 11,928,544.24/3,975.29
  6. Step 6: Final answer
    x = 3,000.67

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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.