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Finding the Fourth Proportional to 11,139, 15,372 and 6,171

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Solution

The fourth proportional to 11,139, 15,372 and 6,171 is: 8,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139 : 15,372 = 6,171 : x
  2. Step 2: Convert to fraction form
    11,139/15,372 = 6,171/x
  3. Step 3: Cross multiply
    11,139x = 15,372 × 6,171
  4. Step 4: Simplify right side
    11,139x = 94,860,612
  5. Step 5: Solve for x
    x = 94,860,612/11,139
  6. Step 6: Final answer
    x = 8,516.08

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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.