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Finding the Fourth Proportional to 14,611, 20,163.50 and 7,987

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Solution

The fourth proportional to 14,611, 20,163.50 and 7,987 is: 11,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611 : 20,163.50 = 7,987 : x
  2. Step 2: Convert to fraction form
    14,611/20,163.50 = 7,987/x
  3. Step 3: Cross multiply
    14,611x = 20,163.50 × 7,987
  4. Step 4: Simplify right side
    14,611x = 161,045,874.50
  5. Step 5: Solve for x
    x = 161,045,874.50/14,611
  6. Step 6: Final answer
    x = 11,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.