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Finding the Fourth Proportional to 27,191.25, 40,786.88 and 9,661.77

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Solution

The fourth proportional to 27,191.25, 40,786.88 and 9,661.77 is: 14,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.25 : 40,786.88 = 9,661.77 : x
  2. Step 2: Convert to fraction form
    27,191.25/40,786.88 = 9,661.77/x
  3. Step 3: Cross multiply
    27,191.25x = 40,786.88 × 9,661.77
  4. Step 4: Simplify right side
    27,191.25x = 394,073,405.27
  5. Step 5: Solve for x
    x = 394,073,405.27/27,191.25
  6. Step 6: Final answer
    x = 14,492.66

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1.5x scale

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.