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Finding the Fourth Proportional to 26,991, 40,492.98 and 8,523

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Solution

The fourth proportional to 26,991, 40,492.98 and 8,523 is: 12,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,991 : 40,492.98 = 8,523 : x
  2. Step 2: Convert to fraction form
    26,991/40,492.98 = 8,523/x
  3. Step 3: Cross multiply
    26,991x = 40,492.98 × 8,523
  4. Step 4: Simplify right side
    26,991x = 345,121,668.54
  5. Step 5: Solve for x
    x = 345,121,668.54/26,991
  6. Step 6: Final answer
    x = 12,786.55

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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.