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Finding the Fourth Proportional to 14,809, 20,436.66 and 8,185

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Solution

The fourth proportional to 14,809, 20,436.66 and 8,185 is: 11,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809 : 20,436.66 = 8,185 : x
  2. Step 2: Convert to fraction form
    14,809/20,436.66 = 8,185/x
  3. Step 3: Cross multiply
    14,809x = 20,436.66 × 8,185
  4. Step 4: Simplify right side
    14,809x = 167,274,062.10
  5. Step 5: Solve for x
    x = 167,274,062.10/14,809
  6. Step 6: Final answer
    x = 11,295.43

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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.