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Finding the Fourth Proportional to 3,969.66, 5,954.51 and 1,047.88

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Solution

The fourth proportional to 3,969.66, 5,954.51 and 1,047.88 is: 1,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.66 : 5,954.51 = 1,047.88 : x
  2. Step 2: Convert to fraction form
    3,969.66/5,954.51 = 1,047.88/x
  3. Step 3: Cross multiply
    3,969.66x = 5,954.51 × 1,047.88
  4. Step 4: Simplify right side
    3,969.66x = 6,239,611.94
  5. Step 5: Solve for x
    x = 6,239,611.94/3,969.66
  6. Step 6: Final answer
    x = 1,571.83

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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.