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Finding the Fourth Proportional to 11,855.58, 17,786.46 and 6,929.42

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Solution

The fourth proportional to 11,855.58, 17,786.46 and 6,929.42 is: 10,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.58 : 17,786.46 = 6,929.42 : x
  2. Step 2: Convert to fraction form
    11,855.58/17,786.46 = 6,929.42/x
  3. Step 3: Cross multiply
    11,855.58x = 17,786.46 × 6,929.42
  4. Step 4: Simplify right side
    11,855.58x = 123,249,851.65
  5. Step 5: Solve for x
    x = 123,249,851.65/11,855.58
  6. Step 6: Final answer
    x = 10,395.94

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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.