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Finding the Fourth Proportional to 9,135.75, 13,704.08 and 2,979.75

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Solution

The fourth proportional to 9,135.75, 13,704.08 and 2,979.75 is: 4,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.75 : 13,704.08 = 2,979.75 : x
  2. Step 2: Convert to fraction form
    9,135.75/13,704.08 = 2,979.75/x
  3. Step 3: Cross multiply
    9,135.75x = 13,704.08 × 2,979.75
  4. Step 4: Simplify right side
    9,135.75x = 40,834,717.48
  5. Step 5: Solve for x
    x = 40,834,717.48/9,135.75
  6. Step 6: Final answer
    x = 4,469.77

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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.