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Finding the Fourth Proportional to 11,811.35, 17,716.97 and 8,102.31

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Solution

The fourth proportional to 11,811.35, 17,716.97 and 8,102.31 is: 12,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.35 : 17,716.97 = 8,102.31 : x
  2. Step 2: Convert to fraction form
    11,811.35/17,716.97 = 8,102.31/x
  3. Step 3: Cross multiply
    11,811.35x = 17,716.97 × 8,102.31
  4. Step 4: Simplify right side
    11,811.35x = 143,548,342.69
  5. Step 5: Solve for x
    x = 143,548,342.69/11,811.35
  6. Step 6: Final answer
    x = 12,153.43

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1.5x scale

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.