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Finding the Fourth Proportional to 7,198.68, 9,933.12 and 4,213.38

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Solution

The fourth proportional to 7,198.68, 9,933.12 and 4,213.38 is: 5,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.68 : 9,933.12 = 4,213.38 : x
  2. Step 2: Convert to fraction form
    7,198.68/9,933.12 = 4,213.38/x
  3. Step 3: Cross multiply
    7,198.68x = 9,933.12 × 4,213.38
  4. Step 4: Simplify right side
    7,198.68x = 41,852,009.15
  5. Step 5: Solve for x
    x = 41,852,009.15/7,198.68
  6. Step 6: Final answer
    x = 5,813.84

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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.