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Finding the Fourth Proportional to 3,808.76, 5,713.07 and 1,211.63

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Solution

The fourth proportional to 3,808.76, 5,713.07 and 1,211.63 is: 1,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.76 : 5,713.07 = 1,211.63 : x
  2. Step 2: Convert to fraction form
    3,808.76/5,713.07 = 1,211.63/x
  3. Step 3: Cross multiply
    3,808.76x = 5,713.07 × 1,211.63
  4. Step 4: Simplify right side
    3,808.76x = 6,922,092.38
  5. Step 5: Solve for x
    x = 6,922,092.38/3,808.76
  6. Step 6: Final answer
    x = 1,817.42

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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.