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Finding the Fourth Proportional to 12,383.22, 17,084.68 and 7,074.28

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Solution

The fourth proportional to 12,383.22, 17,084.68 and 7,074.28 is: 9,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.22 : 17,084.68 = 7,074.28 : x
  2. Step 2: Convert to fraction form
    12,383.22/17,084.68 = 7,074.28/x
  3. Step 3: Cross multiply
    12,383.22x = 17,084.68 × 7,074.28
  4. Step 4: Simplify right side
    12,383.22x = 120,861,810.03
  5. Step 5: Solve for x
    x = 120,861,810.03/12,383.22
  6. Step 6: Final answer
    x = 9,760.13

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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.