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Finding the Fourth Proportional to 20,098, 30,147 and 7,786

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Solution

The fourth proportional to 20,098, 30,147 and 7,786 is: 11,679

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 30,147 = 7,786 : x
  2. Step 2: Convert to fraction form
    20,098/30,147 = 7,786/x
  3. Step 3: Cross multiply
    20,098x = 30,147 × 7,786
  4. Step 4: Simplify right side
    20,098x = 234,724,542
  5. Step 5: Solve for x
    x = 234,724,542/20,098
  6. Step 6: Final answer
    x = 11,679

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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.