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Finding the Fourth Proportional to 26,829, 40,245.72 and 8,361

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Solution

The fourth proportional to 26,829, 40,245.72 and 8,361 is: 12,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829 : 40,245.72 = 8,361 : x
  2. Step 2: Convert to fraction form
    26,829/40,245.72 = 8,361/x
  3. Step 3: Cross multiply
    26,829x = 40,245.72 × 8,361
  4. Step 4: Simplify right side
    26,829x = 336,494,464.92
  5. Step 5: Solve for x
    x = 336,494,464.92/26,829
  6. Step 6: Final answer
    x = 12,542.19

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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.