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Finding the Fourth Proportional to 2,805.80, 4,208.88 and 1,162.48

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Solution

The fourth proportional to 2,805.80, 4,208.88 and 1,162.48 is: 1,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.80 : 4,208.88 = 1,162.48 : x
  2. Step 2: Convert to fraction form
    2,805.80/4,208.88 = 1,162.48/x
  3. Step 3: Cross multiply
    2,805.80x = 4,208.88 × 1,162.48
  4. Step 4: Simplify right side
    2,805.80x = 4,892,723.94
  5. Step 5: Solve for x
    x = 4,892,723.94/2,805.80
  6. Step 6: Final answer
    x = 1,743.79

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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.