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Finding the Fourth Proportional to 8,485, 11,709.36 and 5,173

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Solution

The fourth proportional to 8,485, 11,709.36 and 5,173 is: 7,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485 : 11,709.36 = 5,173 : x
  2. Step 2: Convert to fraction form
    8,485/11,709.36 = 5,173/x
  3. Step 3: Cross multiply
    8,485x = 11,709.36 × 5,173
  4. Step 4: Simplify right side
    8,485x = 60,572,519.28
  5. Step 5: Solve for x
    x = 60,572,519.28/8,485
  6. Step 6: Final answer
    x = 7,138.78

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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.