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Finding the Fourth Proportional to 18,199.14, 27,302.82 and 7,109.00

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Solution

The fourth proportional to 18,199.14, 27,302.82 and 7,109.00 is: 10,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199.14 : 27,302.82 = 7,109.00 : x
  2. Step 2: Convert to fraction form
    18,199.14/27,302.82 = 7,109.00/x
  3. Step 3: Cross multiply
    18,199.14x = 27,302.82 × 7,109.00
  4. Step 4: Simplify right side
    18,199.14x = 194,095,796.78
  5. Step 5: Solve for x
    x = 194,095,796.78/18,199.14
  6. Step 6: Final answer
    x = 10,665.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.