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Finding the Fourth Proportional to 9,078, 13,619.16 and 2,922

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Solution

The fourth proportional to 9,078, 13,619.16 and 2,922 is: 4,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078 : 13,619.16 = 2,922 : x
  2. Step 2: Convert to fraction form
    9,078/13,619.16 = 2,922/x
  3. Step 3: Cross multiply
    9,078x = 13,619.16 × 2,922
  4. Step 4: Simplify right side
    9,078x = 39,795,185.52
  5. Step 5: Solve for x
    x = 39,795,185.52/9,078
  6. Step 6: Final answer
    x = 4,383.70

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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.