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Finding the Fourth Proportional to 2,805.42, 4,203 and 1,763.22

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Solution

The fourth proportional to 2,805.42, 4,203 and 1,763.22 is: 2,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.42 : 4,203 = 1,763.22 : x
  2. Step 2: Convert to fraction form
    2,805.42/4,203 = 1,763.22/x
  3. Step 3: Cross multiply
    2,805.42x = 4,203 × 1,763.22
  4. Step 4: Simplify right side
    2,805.42x = 7,410,813.66
  5. Step 5: Solve for x
    x = 7,410,813.66/2,805.42
  6. Step 6: Final answer
    x = 2,641.61

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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.