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Finding the Fourth Proportional to 25,832, 38,762 and 20,000

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Solution

The fourth proportional to 25,832, 38,762 and 20,000 is: 30,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832 : 38,762 = 20,000 : x
  2. Step 2: Convert to fraction form
    25,832/38,762 = 20,000/x
  3. Step 3: Cross multiply
    25,832x = 38,762 × 20,000
  4. Step 4: Simplify right side
    25,832x = 775,240,000
  5. Step 5: Solve for x
    x = 775,240,000/25,832
  6. Step 6: Final answer
    x = 30,010.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.