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Finding the Fourth Proportional to 3,969.72, 5,954.38 and 1,047.92

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Solution

The fourth proportional to 3,969.72, 5,954.38 and 1,047.92 is: 1,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.72 : 5,954.38 = 1,047.92 : x
  2. Step 2: Convert to fraction form
    3,969.72/5,954.38 = 1,047.92/x
  3. Step 3: Cross multiply
    3,969.72x = 5,954.38 × 1,047.92
  4. Step 4: Simplify right side
    3,969.72x = 6,239,681.50
  5. Step 5: Solve for x
    x = 6,239,681.50/3,969.72
  6. Step 6: Final answer
    x = 1,571.82

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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.