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Finding the Fourth Proportional to 12,290, 18,435 and 4,082

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Solution

The fourth proportional to 12,290, 18,435 and 4,082 is: 6,123

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290 : 18,435 = 4,082 : x
  2. Step 2: Convert to fraction form
    12,290/18,435 = 4,082/x
  3. Step 3: Cross multiply
    12,290x = 18,435 × 4,082
  4. Step 4: Simplify right side
    12,290x = 75,251,670
  5. Step 5: Solve for x
    x = 75,251,670/12,290
  6. Step 6: Final answer
    x = 6,123

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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.