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Finding the Fourth Proportional to 12,279.30, 16,949.16 and 7,243.13

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Solution

The fourth proportional to 12,279.30, 16,949.16 and 7,243.13 is: 9,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.30 : 16,949.16 = 7,243.13 : x
  2. Step 2: Convert to fraction form
    12,279.30/16,949.16 = 7,243.13/x
  3. Step 3: Cross multiply
    12,279.30x = 16,949.16 × 7,243.13
  4. Step 4: Simplify right side
    12,279.30x = 122,764,884.53
  5. Step 5: Solve for x
    x = 122,764,884.53/12,279.30
  6. Step 6: Final answer
    x = 9,997.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.