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Finding the Fourth Proportional to 6,713.76, 9,265 and 3,729.60

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Solution

The fourth proportional to 6,713.76, 9,265 and 3,729.60 is: 5,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.76 : 9,265 = 3,729.60 : x
  2. Step 2: Convert to fraction form
    6,713.76/9,265 = 3,729.60/x
  3. Step 3: Cross multiply
    6,713.76x = 9,265 × 3,729.60
  4. Step 4: Simplify right side
    6,713.76x = 34,554,744
  5. Step 5: Solve for x
    x = 34,554,744/6,713.76
  6. Step 6: Final answer
    x = 5,146.85

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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.