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Finding the Fourth Proportional to 20,148, 30,222 and 7,836

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Solution

The fourth proportional to 20,148, 30,222 and 7,836 is: 11,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148 : 30,222 = 7,836 : x
  2. Step 2: Convert to fraction form
    20,148/30,222 = 7,836/x
  3. Step 3: Cross multiply
    20,148x = 30,222 × 7,836
  4. Step 4: Simplify right side
    20,148x = 236,819,592
  5. Step 5: Solve for x
    x = 236,819,592/20,148
  6. Step 6: Final answer
    x = 11,754

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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.