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Finding the Fourth Proportional to 25,741.49, 38,618.48 and 8,211.31

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Solution

The fourth proportional to 25,741.49, 38,618.48 and 8,211.31 is: 12,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.49 : 38,618.48 = 8,211.31 : x
  2. Step 2: Convert to fraction form
    25,741.49/38,618.48 = 8,211.31/x
  3. Step 3: Cross multiply
    25,741.49x = 38,618.48 × 8,211.31
  4. Step 4: Simplify right side
    25,741.49x = 317,108,234.99
  5. Step 5: Solve for x
    x = 317,108,234.99/25,741.49
  6. Step 6: Final answer
    x = 12,318.96

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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.