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Finding the Fourth Proportional to 3,211.85, 4,817.87 and 871.84

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Solution

The fourth proportional to 3,211.85, 4,817.87 and 871.84 is: 1,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.85 : 4,817.87 = 871.84 : x
  2. Step 2: Convert to fraction form
    3,211.85/4,817.87 = 871.84/x
  3. Step 3: Cross multiply
    3,211.85x = 4,817.87 × 871.84
  4. Step 4: Simplify right side
    3,211.85x = 4,200,407.42
  5. Step 5: Solve for x
    x = 4,200,407.42/3,211.85
  6. Step 6: Final answer
    x = 1,307.79

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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.