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Finding the Fourth Proportional to 13,705.80, 18,914.46 and 8,399.59

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Solution

The fourth proportional to 13,705.80, 18,914.46 and 8,399.59 is: 11,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.80 : 18,914.46 = 8,399.59 : x
  2. Step 2: Convert to fraction form
    13,705.80/18,914.46 = 8,399.59/x
  3. Step 3: Cross multiply
    13,705.80x = 18,914.46 × 8,399.59
  4. Step 4: Simplify right side
    13,705.80x = 158,873,709.07
  5. Step 5: Solve for x
    x = 158,873,709.07/13,705.80
  6. Step 6: Final answer
    x = 11,591.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.