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Finding the Fourth Proportional to 3,969.65, 5,954.42 and 1,008.09

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Solution

The fourth proportional to 3,969.65, 5,954.42 and 1,008.09 is: 1,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.65 : 5,954.42 = 1,008.09 : x
  2. Step 2: Convert to fraction form
    3,969.65/5,954.42 = 1,008.09/x
  3. Step 3: Cross multiply
    3,969.65x = 5,954.42 × 1,008.09
  4. Step 4: Simplify right side
    3,969.65x = 6,002,586.22
  5. Step 5: Solve for x
    x = 6,002,586.22/3,969.65
  6. Step 6: Final answer
    x = 1,512.12

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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.