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Finding the Fourth Proportional to 11,786, 16,264.68 and 6,481.16

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Solution

The fourth proportional to 11,786, 16,264.68 and 6,481.16 is: 8,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786 : 16,264.68 = 6,481.16 : x
  2. Step 2: Convert to fraction form
    11,786/16,264.68 = 6,481.16/x
  3. Step 3: Cross multiply
    11,786x = 16,264.68 × 6,481.16
  4. Step 4: Simplify right side
    11,786x = 105,413,993.43
  5. Step 5: Solve for x
    x = 105,413,993.43/11,786
  6. Step 6: Final answer
    x = 8,944.00

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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.