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Finding the Fourth Proportional to 12,141.63, 18,205.16 and 8,234.19

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Solution

The fourth proportional to 12,141.63, 18,205.16 and 8,234.19 is: 12,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.63 : 18,205.16 = 8,234.19 : x
  2. Step 2: Convert to fraction form
    12,141.63/18,205.16 = 8,234.19/x
  3. Step 3: Cross multiply
    12,141.63x = 18,205.16 × 8,234.19
  4. Step 4: Simplify right side
    12,141.63x = 149,904,705.25
  5. Step 5: Solve for x
    x = 149,904,705.25/12,141.63
  6. Step 6: Final answer
    x = 12,346.34

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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.