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Finding the Fourth Proportional to 7,180.80, 9,909.72 and 4,198.80

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Solution

The fourth proportional to 7,180.80, 9,909.72 and 4,198.80 is: 5,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.80 : 9,909.72 = 4,198.80 : x
  2. Step 2: Convert to fraction form
    7,180.80/9,909.72 = 4,198.80/x
  3. Step 3: Cross multiply
    7,180.80x = 9,909.72 × 4,198.80
  4. Step 4: Simplify right side
    7,180.80x = 41,608,932.34
  5. Step 5: Solve for x
    x = 41,608,932.34/7,180.80
  6. Step 6: Final answer
    x = 5,794.47

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1.5x scale

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.