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Finding the Fourth Proportional to 25,836, 38,768 and 20,004

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Solution

The fourth proportional to 25,836, 38,768 and 20,004 is: 30,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836 : 38,768 = 20,004 : x
  2. Step 2: Convert to fraction form
    25,836/38,768 = 20,004/x
  3. Step 3: Cross multiply
    25,836x = 38,768 × 20,004
  4. Step 4: Simplify right side
    25,836x = 775,515,072
  5. Step 5: Solve for x
    x = 775,515,072/25,836
  6. Step 6: Final answer
    x = 30,016.84

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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.