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Finding the Fourth Proportional to 3,811.79, 5,713.13 and 2,166.08

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Solution

The fourth proportional to 3,811.79, 5,713.13 and 2,166.08 is: 3,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.79 : 5,713.13 = 2,166.08 : x
  2. Step 2: Convert to fraction form
    3,811.79/5,713.13 = 2,166.08/x
  3. Step 3: Cross multiply
    3,811.79x = 5,713.13 × 2,166.08
  4. Step 4: Simplify right side
    3,811.79x = 12,375,073.48
  5. Step 5: Solve for x
    x = 12,375,073.48/3,811.79
  6. Step 6: Final answer
    x = 3,246.52

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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.