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Finding the Fourth Proportional to 3,808.64, 5,713.14 and 1,211.78

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Solution

The fourth proportional to 3,808.64, 5,713.14 and 1,211.78 is: 1,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.64 : 5,713.14 = 1,211.78 : x
  2. Step 2: Convert to fraction form
    3,808.64/5,713.14 = 1,211.78/x
  3. Step 3: Cross multiply
    3,808.64x = 5,713.14 × 1,211.78
  4. Step 4: Simplify right side
    3,808.64x = 6,923,068.79
  5. Step 5: Solve for x
    x = 6,923,068.79/3,808.64
  6. Step 6: Final answer
    x = 1,817.73

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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.