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Finding the Fourth Proportional to 41,615.72, 62,409.82 and 20,825

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Solution

The fourth proportional to 41,615.72, 62,409.82 and 20,825 is: 31,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,615.72 : 62,409.82 = 20,825 : x
  2. Step 2: Convert to fraction form
    41,615.72/62,409.82 = 20,825/x
  3. Step 3: Cross multiply
    41,615.72x = 62,409.82 × 20,825
  4. Step 4: Simplify right side
    41,615.72x = 1,299,684,501.50
  5. Step 5: Solve for x
    x = 1,299,684,501.50/41,615.72
  6. Step 6: Final answer
    x = 31,230.61

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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.