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Finding the Fourth Proportional to 26,550, 39,825 and 8,082

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Solution

The fourth proportional to 26,550, 39,825 and 8,082 is: 12,123

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,550 : 39,825 = 8,082 : x
  2. Step 2: Convert to fraction form
    26,550/39,825 = 8,082/x
  3. Step 3: Cross multiply
    26,550x = 39,825 × 8,082
  4. Step 4: Simplify right side
    26,550x = 321,865,650
  5. Step 5: Solve for x
    x = 321,865,650/26,550
  6. Step 6: Final answer
    x = 12,123

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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.