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Finding the Fourth Proportional to 20,361.81, 30,537.78 and 8,509.17

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Solution

The fourth proportional to 20,361.81, 30,537.78 and 8,509.17 is: 12,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,361.81 : 30,537.78 = 8,509.17 : x
  2. Step 2: Convert to fraction form
    20,361.81/30,537.78 = 8,509.17/x
  3. Step 3: Cross multiply
    20,361.81x = 30,537.78 × 8,509.17
  4. Step 4: Simplify right side
    20,361.81x = 259,851,161.44
  5. Step 5: Solve for x
    x = 259,851,161.44/20,361.81
  6. Step 6: Final answer
    x = 12,761.69

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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.