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Finding the Fourth Proportional to 25,673.67, 38,511.78 and 8,141.88

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Solution

The fourth proportional to 25,673.67, 38,511.78 and 8,141.88 is: 12,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.67 : 38,511.78 = 8,141.88 : x
  2. Step 2: Convert to fraction form
    25,673.67/38,511.78 = 8,141.88/x
  3. Step 3: Cross multiply
    25,673.67x = 38,511.78 × 8,141.88
  4. Step 4: Simplify right side
    25,673.67x = 313,558,291.35
  5. Step 5: Solve for x
    x = 313,558,291.35/25,673.67
  6. Step 6: Final answer
    x = 12,213.22

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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.