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Finding the Fourth Proportional to 30,082, 45,123 and 8,194

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Solution

The fourth proportional to 30,082, 45,123 and 8,194 is: 12,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082 : 45,123 = 8,194 : x
  2. Step 2: Convert to fraction form
    30,082/45,123 = 8,194/x
  3. Step 3: Cross multiply
    30,082x = 45,123 × 8,194
  4. Step 4: Simplify right side
    30,082x = 369,737,862
  5. Step 5: Solve for x
    x = 369,737,862/30,082
  6. Step 6: Final answer
    x = 12,291

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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.