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Finding the Fourth Proportional to 12,279.41, 16,945.49 and 7,243.64

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Solution

The fourth proportional to 12,279.41, 16,945.49 and 7,243.64 is: 9,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.41 : 16,945.49 = 7,243.64 : x
  2. Step 2: Convert to fraction form
    12,279.41/16,945.49 = 7,243.64/x
  3. Step 3: Cross multiply
    12,279.41x = 16,945.49 × 7,243.64
  4. Step 4: Simplify right side
    12,279.41x = 122,746,908.24
  5. Step 5: Solve for x
    x = 122,746,908.24/12,279.41
  6. Step 6: Final answer
    x = 9,996.16

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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.