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Finding the Fourth Proportional to 36,517.89, 54,782.90 and 12,819.29

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Solution

The fourth proportional to 36,517.89, 54,782.90 and 12,819.29 is: 19,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,517.89 : 54,782.90 = 12,819.29 : x
  2. Step 2: Convert to fraction form
    36,517.89/54,782.90 = 12,819.29/x
  3. Step 3: Cross multiply
    36,517.89x = 54,782.90 × 12,819.29
  4. Step 4: Simplify right side
    36,517.89x = 702,277,544.13
  5. Step 5: Solve for x
    x = 702,277,544.13/36,517.89
  6. Step 6: Final answer
    x = 19,231.05

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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.