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Finding the Fourth Proportional to 11,923, 16,453.74 and 7,731.28

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Solution

The fourth proportional to 11,923, 16,453.74 and 7,731.28 is: 10,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923 : 16,453.74 = 7,731.28 : x
  2. Step 2: Convert to fraction form
    11,923/16,453.74 = 7,731.28/x
  3. Step 3: Cross multiply
    11,923x = 16,453.74 × 7,731.28
  4. Step 4: Simplify right side
    11,923x = 127,208,470.99
  5. Step 5: Solve for x
    x = 127,208,470.99/11,923
  6. Step 6: Final answer
    x = 10,669.17

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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.