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Finding the Fourth Proportional to 13,705.67, 18,914.29 and 8,399.47

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Solution

The fourth proportional to 13,705.67, 18,914.29 and 8,399.47 is: 11,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.67 : 18,914.29 = 8,399.47 : x
  2. Step 2: Convert to fraction form
    13,705.67/18,914.29 = 8,399.47/x
  3. Step 3: Cross multiply
    13,705.67x = 18,914.29 × 8,399.47
  4. Step 4: Simplify right side
    13,705.67x = 158,869,874.86
  5. Step 5: Solve for x
    x = 158,869,874.86/13,705.67
  6. Step 6: Final answer
    x = 11,591.54

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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.