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Finding the Fourth Proportional to 26,821, 40,238 and 8,353

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Solution

The fourth proportional to 26,821, 40,238 and 8,353 is: 12,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821 : 40,238 = 8,353 : x
  2. Step 2: Convert to fraction form
    26,821/40,238 = 8,353/x
  3. Step 3: Cross multiply
    26,821x = 40,238 × 8,353
  4. Step 4: Simplify right side
    26,821x = 336,108,014
  5. Step 5: Solve for x
    x = 336,108,014/26,821
  6. Step 6: Final answer
    x = 12,531.52

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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.