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Finding the Fourth Proportional to 9,960, 13,745.76 and 5,544

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Solution

The fourth proportional to 9,960, 13,745.76 and 5,544 is: 7,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960 : 13,745.76 = 5,544 : x
  2. Step 2: Convert to fraction form
    9,960/13,745.76 = 5,544/x
  3. Step 3: Cross multiply
    9,960x = 13,745.76 × 5,544
  4. Step 4: Simplify right side
    9,960x = 76,206,493.44
  5. Step 5: Solve for x
    x = 76,206,493.44/9,960
  6. Step 6: Final answer
    x = 7,651.25

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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.