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Finding the Fourth Proportional to 27,191, 40,786.50 and 9,661.52

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Solution

The fourth proportional to 27,191, 40,786.50 and 9,661.52 is: 14,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191 : 40,786.50 = 9,661.52 : x
  2. Step 2: Convert to fraction form
    27,191/40,786.50 = 9,661.52/x
  3. Step 3: Cross multiply
    27,191x = 40,786.50 × 9,661.52
  4. Step 4: Simplify right side
    27,191x = 394,059,585.48
  5. Step 5: Solve for x
    x = 394,059,585.48/27,191
  6. Step 6: Final answer
    x = 14,492.28

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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.