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Finding the Fourth Proportional to 20,738, 31,107 and 6,146

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Solution

The fourth proportional to 20,738, 31,107 and 6,146 is: 9,219

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738 : 31,107 = 6,146 : x
  2. Step 2: Convert to fraction form
    20,738/31,107 = 6,146/x
  3. Step 3: Cross multiply
    20,738x = 31,107 × 6,146
  4. Step 4: Simplify right side
    20,738x = 191,183,622
  5. Step 5: Solve for x
    x = 191,183,622/20,738
  6. Step 6: Final answer
    x = 9,219

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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.