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Finding the Fourth Proportional to 2,986.92, 4,480.38 and 795.82

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Solution

The fourth proportional to 2,986.92, 4,480.38 and 795.82 is: 1,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.92 : 4,480.38 = 795.82 : x
  2. Step 2: Convert to fraction form
    2,986.92/4,480.38 = 795.82/x
  3. Step 3: Cross multiply
    2,986.92x = 4,480.38 × 795.82
  4. Step 4: Simplify right side
    2,986.92x = 3,565,576.01
  5. Step 5: Solve for x
    x = 3,565,576.01/2,986.92
  6. Step 6: Final answer
    x = 1,193.73

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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.