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Finding the Fourth Proportional to 13,757, 20,635.50 and 7,601

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Solution

The fourth proportional to 13,757, 20,635.50 and 7,601 is: 11,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757 : 20,635.50 = 7,601 : x
  2. Step 2: Convert to fraction form
    13,757/20,635.50 = 7,601/x
  3. Step 3: Cross multiply
    13,757x = 20,635.50 × 7,601
  4. Step 4: Simplify right side
    13,757x = 156,850,435.50
  5. Step 5: Solve for x
    x = 156,850,435.50/13,757
  6. Step 6: Final answer
    x = 11,401.50

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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.