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Finding the Fourth Proportional to 7,198.80, 9,934.16 and 4,012.08

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Solution

The fourth proportional to 7,198.80, 9,934.16 and 4,012.08 is: 5,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.80 : 9,934.16 = 4,012.08 : x
  2. Step 2: Convert to fraction form
    7,198.80/9,934.16 = 4,012.08/x
  3. Step 3: Cross multiply
    7,198.80x = 9,934.16 × 4,012.08
  4. Step 4: Simplify right side
    7,198.80x = 39,856,644.65
  5. Step 5: Solve for x
    x = 39,856,644.65/7,198.80
  6. Step 6: Final answer
    x = 5,536.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.