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Finding the Fourth Proportional to 3,271.15, 4,906.59 and 805.96

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Solution

The fourth proportional to 3,271.15, 4,906.59 and 805.96 is: 1,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.15 : 4,906.59 = 805.96 : x
  2. Step 2: Convert to fraction form
    3,271.15/4,906.59 = 805.96/x
  3. Step 3: Cross multiply
    3,271.15x = 4,906.59 × 805.96
  4. Step 4: Simplify right side
    3,271.15x = 3,954,515.28
  5. Step 5: Solve for x
    x = 3,954,515.28/3,271.15
  6. Step 6: Final answer
    x = 1,208.91

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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.