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Finding the Fourth Proportional to 3,512.99, 5,269.48 and 1,047.75

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Solution

The fourth proportional to 3,512.99, 5,269.48 and 1,047.75 is: 1,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.99 : 5,269.48 = 1,047.75 : x
  2. Step 2: Convert to fraction form
    3,512.99/5,269.48 = 1,047.75/x
  3. Step 3: Cross multiply
    3,512.99x = 5,269.48 × 1,047.75
  4. Step 4: Simplify right side
    3,512.99x = 5,521,092.43
  5. Step 5: Solve for x
    x = 5,521,092.43/3,512.99
  6. Step 6: Final answer
    x = 1,571.62

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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.