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Finding the Fourth Proportional to 3,811.76, 5,713.84 and 2,164.89

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Solution

The fourth proportional to 3,811.76, 5,713.84 and 2,164.89 is: 3,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.76 : 5,713.84 = 2,164.89 : x
  2. Step 2: Convert to fraction form
    3,811.76/5,713.84 = 2,164.89/x
  3. Step 3: Cross multiply
    3,811.76x = 5,713.84 × 2,164.89
  4. Step 4: Simplify right side
    3,811.76x = 12,369,835.08
  5. Step 5: Solve for x
    x = 12,369,835.08/3,811.76
  6. Step 6: Final answer
    x = 3,245.18

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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.