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Finding the Fourth Proportional to 11,628, 16,039.80 and 6,912

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Solution

The fourth proportional to 11,628, 16,039.80 and 6,912 is: 9,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628 : 16,039.80 = 6,912 : x
  2. Step 2: Convert to fraction form
    11,628/16,039.80 = 6,912/x
  3. Step 3: Cross multiply
    11,628x = 16,039.80 × 6,912
  4. Step 4: Simplify right side
    11,628x = 110,867,097.60
  5. Step 5: Solve for x
    x = 110,867,097.60/11,628
  6. Step 6: Final answer
    x = 9,534.49

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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.