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Finding the Fourth Proportional to 15,049, 20,767.64 and 8,425

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Solution

The fourth proportional to 15,049, 20,767.64 and 8,425 is: 11,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049 : 20,767.64 = 8,425 : x
  2. Step 2: Convert to fraction form
    15,049/20,767.64 = 8,425/x
  3. Step 3: Cross multiply
    15,049x = 20,767.64 × 8,425
  4. Step 4: Simplify right side
    15,049x = 174,967,367
  5. Step 5: Solve for x
    x = 174,967,367/15,049
  6. Step 6: Final answer
    x = 11,626.51

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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.