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Finding the Fourth Proportional to 26,436, 36,481.68 and 14,660

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Solution

The fourth proportional to 26,436, 36,481.68 and 14,660 is: 20,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,436 : 36,481.68 = 14,660 : x
  2. Step 2: Convert to fraction form
    26,436/36,481.68 = 14,660/x
  3. Step 3: Cross multiply
    26,436x = 36,481.68 × 14,660
  4. Step 4: Simplify right side
    26,436x = 534,821,428.80
  5. Step 5: Solve for x
    x = 534,821,428.80/26,436
  6. Step 6: Final answer
    x = 20,230.80

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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.