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Finding the Fourth Proportional to 11,638.45, 16,064.09 and 7,391.55

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Solution

The fourth proportional to 11,638.45, 16,064.09 and 7,391.55 is: 10,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.45 : 16,064.09 = 7,391.55 : x
  2. Step 2: Convert to fraction form
    11,638.45/16,064.09 = 7,391.55/x
  3. Step 3: Cross multiply
    11,638.45x = 16,064.09 × 7,391.55
  4. Step 4: Simplify right side
    11,638.45x = 118,738,575.44
  5. Step 5: Solve for x
    x = 118,738,575.44/11,638.45
  6. Step 6: Final answer
    x = 10,202.27

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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.