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Finding the Fourth Proportional to 2,112.75, 3,169.26 and 573.75

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Solution

The fourth proportional to 2,112.75, 3,169.26 and 573.75 is: 860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.75 : 3,169.26 = 573.75 : x
  2. Step 2: Convert to fraction form
    2,112.75/3,169.26 = 573.75/x
  3. Step 3: Cross multiply
    2,112.75x = 3,169.26 × 573.75
  4. Step 4: Simplify right side
    2,112.75x = 1,818,362.93
  5. Step 5: Solve for x
    x = 1,818,362.93/2,112.75
  6. Step 6: Final answer
    x = 860.66

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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.