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Finding the Fourth Proportional to 12,343.67, 18,520.77 and 8,185.13

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Solution

The fourth proportional to 12,343.67, 18,520.77 and 8,185.13 is: 12,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.67 : 18,520.77 = 8,185.13 : x
  2. Step 2: Convert to fraction form
    12,343.67/18,520.77 = 8,185.13/x
  3. Step 3: Cross multiply
    12,343.67x = 18,520.77 × 8,185.13
  4. Step 4: Simplify right side
    12,343.67x = 151,594,910.15
  5. Step 5: Solve for x
    x = 151,594,910.15/12,343.67
  6. Step 6: Final answer
    x = 12,281.19

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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.