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Finding the Fourth Proportional to 11,129.80, 16,694.70 and 9,866.20

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Solution

The fourth proportional to 11,129.80, 16,694.70 and 9,866.20 is: 14,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.80 : 16,694.70 = 9,866.20 : x
  2. Step 2: Convert to fraction form
    11,129.80/16,694.70 = 9,866.20/x
  3. Step 3: Cross multiply
    11,129.80x = 16,694.70 × 9,866.20
  4. Step 4: Simplify right side
    11,129.80x = 164,713,249.14
  5. Step 5: Solve for x
    x = 164,713,249.14/11,129.80
  6. Step 6: Final answer
    x = 14,799.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.