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Finding the Fourth Proportional to 13,097.44, 18,069.42 and 9,319.42

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Solution

The fourth proportional to 13,097.44, 18,069.42 and 9,319.42 is: 12,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.44 : 18,069.42 = 9,319.42 : x
  2. Step 2: Convert to fraction form
    13,097.44/18,069.42 = 9,319.42/x
  3. Step 3: Cross multiply
    13,097.44x = 18,069.42 × 9,319.42
  4. Step 4: Simplify right side
    13,097.44x = 168,396,514.14
  5. Step 5: Solve for x
    x = 168,396,514.14/13,097.44
  6. Step 6: Final answer
    x = 12,857.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.