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Finding the Fourth Proportional to 26,307, 39,467.34 and 7,839

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Solution

The fourth proportional to 26,307, 39,467.34 and 7,839 is: 11,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,307 : 39,467.34 = 7,839 : x
  2. Step 2: Convert to fraction form
    26,307/39,467.34 = 7,839/x
  3. Step 3: Cross multiply
    26,307x = 39,467.34 × 7,839
  4. Step 4: Simplify right side
    26,307x = 309,384,478.26
  5. Step 5: Solve for x
    x = 309,384,478.26/26,307
  6. Step 6: Final answer
    x = 11,760.54

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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.