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Finding the Fourth Proportional to 7,198.18, 9,933.72 and 4,214.14

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Solution

The fourth proportional to 7,198.18, 9,933.72 and 4,214.14 is: 5,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.18 : 9,933.72 = 4,214.14 : x
  2. Step 2: Convert to fraction form
    7,198.18/9,933.72 = 4,214.14/x
  3. Step 3: Cross multiply
    7,198.18x = 9,933.72 × 4,214.14
  4. Step 4: Simplify right side
    7,198.18x = 41,862,086.80
  5. Step 5: Solve for x
    x = 41,862,086.80/7,198.18
  6. Step 6: Final answer
    x = 5,815.65

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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.