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Finding the Fourth Proportional to 8,173, 11,278.74 and 4,447

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Solution

The fourth proportional to 8,173, 11,278.74 and 4,447 is: 6,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173 : 11,278.74 = 4,447 : x
  2. Step 2: Convert to fraction form
    8,173/11,278.74 = 4,447/x
  3. Step 3: Cross multiply
    8,173x = 11,278.74 × 4,447
  4. Step 4: Simplify right side
    8,173x = 50,156,556.78
  5. Step 5: Solve for x
    x = 50,156,556.78/8,173
  6. Step 6: Final answer
    x = 6,136.86

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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.