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Finding the Fourth Proportional to 27,991, 41,986.86 and 9,523

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Solution

The fourth proportional to 27,991, 41,986.86 and 9,523 is: 14,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991 : 41,986.86 = 9,523 : x
  2. Step 2: Convert to fraction form
    27,991/41,986.86 = 9,523/x
  3. Step 3: Cross multiply
    27,991x = 41,986.86 × 9,523
  4. Step 4: Simplify right side
    27,991x = 399,840,867.78
  5. Step 5: Solve for x
    x = 399,840,867.78/27,991
  6. Step 6: Final answer
    x = 14,284.62

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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.