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Finding the Fourth Proportional to 10,786.88, 16,180.32 and 3,866.24

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Solution

The fourth proportional to 10,786.88, 16,180.32 and 3,866.24 is: 5,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.88 : 16,180.32 = 3,866.24 : x
  2. Step 2: Convert to fraction form
    10,786.88/16,180.32 = 3,866.24/x
  3. Step 3: Cross multiply
    10,786.88x = 16,180.32 × 3,866.24
  4. Step 4: Simplify right side
    10,786.88x = 62,557,000.40
  5. Step 5: Solve for x
    x = 62,557,000.40/10,786.88
  6. Step 6: Final answer
    x = 5,799.36

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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.