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Finding the Fourth Proportional to 12,922, 19,390 and 10,006

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Solution

The fourth proportional to 12,922, 19,390 and 10,006 is: 15,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922 : 19,390 = 10,006 : x
  2. Step 2: Convert to fraction form
    12,922/19,390 = 10,006/x
  3. Step 3: Cross multiply
    12,922x = 19,390 × 10,006
  4. Step 4: Simplify right side
    12,922x = 194,016,340
  5. Step 5: Solve for x
    x = 194,016,340/12,922
  6. Step 6: Final answer
    x = 15,014.42

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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.