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Finding the Fourth Proportional to 27,844.40, 41,768.68 and 8,123.12

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Solution

The fourth proportional to 27,844.40, 41,768.68 and 8,123.12 is: 12,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.40 : 41,768.68 = 8,123.12 : x
  2. Step 2: Convert to fraction form
    27,844.40/41,768.68 = 8,123.12/x
  3. Step 3: Cross multiply
    27,844.40x = 41,768.68 × 8,123.12
  4. Step 4: Simplify right side
    27,844.40x = 339,291,999.88
  5. Step 5: Solve for x
    x = 339,291,999.88/27,844.40
  6. Step 6: Final answer
    x = 12,185.29

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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.