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Finding the Fourth Proportional to 11,650.80, 17,479.78 and 6,976.08

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Solution

The fourth proportional to 11,650.80, 17,479.78 and 6,976.08 is: 10,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.80 : 17,479.78 = 6,976.08 : x
  2. Step 2: Convert to fraction form
    11,650.80/17,479.78 = 6,976.08/x
  3. Step 3: Cross multiply
    11,650.80x = 17,479.78 × 6,976.08
  4. Step 4: Simplify right side
    11,650.80x = 121,940,343.66
  5. Step 5: Solve for x
    x = 121,940,343.66/11,650.80
  6. Step 6: Final answer
    x = 10,466.26

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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.