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Finding the Fourth Proportional to 5,811.08, 8,716.54 and 2,113.16

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Solution

The fourth proportional to 5,811.08, 8,716.54 and 2,113.16 is: 3,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.08 : 8,716.54 = 2,113.16 : x
  2. Step 2: Convert to fraction form
    5,811.08/8,716.54 = 2,113.16/x
  3. Step 3: Cross multiply
    5,811.08x = 8,716.54 × 2,113.16
  4. Step 4: Simplify right side
    5,811.08x = 18,419,443.67
  5. Step 5: Solve for x
    x = 18,419,443.67/5,811.08
  6. Step 6: Final answer
    x = 3,169.71

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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.