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Finding the Fourth Proportional to 7,198.65, 10,805.31 and 6,918.48

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Solution

The fourth proportional to 7,198.65, 10,805.31 and 6,918.48 is: 10,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.65 : 10,805.31 = 6,918.48 : x
  2. Step 2: Convert to fraction form
    7,198.65/10,805.31 = 6,918.48/x
  3. Step 3: Cross multiply
    7,198.65x = 10,805.31 × 6,918.48
  4. Step 4: Simplify right side
    7,198.65x = 74,756,321.13
  5. Step 5: Solve for x
    x = 74,756,321.13/7,198.65
  6. Step 6: Final answer
    x = 10,384.77

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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.