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Finding the Fourth Proportional to 9,170, 13,757.52 and 3,976.64

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Solution

The fourth proportional to 9,170, 13,757.52 and 3,976.64 is: 5,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170 : 13,757.52 = 3,976.64 : x
  2. Step 2: Convert to fraction form
    9,170/13,757.52 = 3,976.64/x
  3. Step 3: Cross multiply
    9,170x = 13,757.52 × 3,976.64
  4. Step 4: Simplify right side
    9,170x = 54,708,704.33
  5. Step 5: Solve for x
    x = 54,708,704.33/9,170
  6. Step 6: Final answer
    x = 5,966.05

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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.