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Finding the Fourth Proportional to 2,986.12, 4,478.77 and 795

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Solution

The fourth proportional to 2,986.12, 4,478.77 and 795 is: 1,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.12 : 4,478.77 = 795 : x
  2. Step 2: Convert to fraction form
    2,986.12/4,478.77 = 795/x
  3. Step 3: Cross multiply
    2,986.12x = 4,478.77 × 795
  4. Step 4: Simplify right side
    2,986.12x = 3,560,622.15
  5. Step 5: Solve for x
    x = 3,560,622.15/2,986.12
  6. Step 6: Final answer
    x = 1,192.39

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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.