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Finding the Fourth Proportional to 14,489.96, 21,734.93 and 7,912.55

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Solution

The fourth proportional to 14,489.96, 21,734.93 and 7,912.55 is: 11,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.96 : 21,734.93 = 7,912.55 : x
  2. Step 2: Convert to fraction form
    14,489.96/21,734.93 = 7,912.55/x
  3. Step 3: Cross multiply
    14,489.96x = 21,734.93 × 7,912.55
  4. Step 4: Simplify right side
    14,489.96x = 171,978,794.49
  5. Step 5: Solve for x
    x = 171,978,794.49/14,489.96
  6. Step 6: Final answer
    x = 11,868.83

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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.