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Finding the Fourth Proportional to 27,318, 40,983.50 and 8,850

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Solution

The fourth proportional to 27,318, 40,983.50 and 8,850 is: 13,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318 : 40,983.50 = 8,850 : x
  2. Step 2: Convert to fraction form
    27,318/40,983.50 = 8,850/x
  3. Step 3: Cross multiply
    27,318x = 40,983.50 × 8,850
  4. Step 4: Simplify right side
    27,318x = 362,703,975
  5. Step 5: Solve for x
    x = 362,703,975/27,318
  6. Step 6: Final answer
    x = 13,277.11

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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.