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Finding the Fourth Proportional to 9,189, 13,772.52 and 3,342.42

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Solution

The fourth proportional to 9,189, 13,772.52 and 3,342.42 is: 5,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189 : 13,772.52 = 3,342.42 : x
  2. Step 2: Convert to fraction form
    9,189/13,772.52 = 3,342.42/x
  3. Step 3: Cross multiply
    9,189x = 13,772.52 × 3,342.42
  4. Step 4: Simplify right side
    9,189x = 46,033,546.30
  5. Step 5: Solve for x
    x = 46,033,546.30/9,189
  6. Step 6: Final answer
    x = 5,009.64

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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.