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Finding the Fourth Proportional to 11,930, 16,463.24 and 6,892.32

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Solution

The fourth proportional to 11,930, 16,463.24 and 6,892.32 is: 9,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930 : 16,463.24 = 6,892.32 : x
  2. Step 2: Convert to fraction form
    11,930/16,463.24 = 6,892.32/x
  3. Step 3: Cross multiply
    11,930x = 16,463.24 × 6,892.32
  4. Step 4: Simplify right side
    11,930x = 113,469,918.32
  5. Step 5: Solve for x
    x = 113,469,918.32/11,930
  6. Step 6: Final answer
    x = 9,511.31

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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.