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Finding the Fourth Proportional to 7,198.34, 9,868.92 and 7,067.12

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Solution

The fourth proportional to 7,198.34, 9,868.92 and 7,067.12 is: 9,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.34 : 9,868.92 = 7,067.12 : x
  2. Step 2: Convert to fraction form
    7,198.34/9,868.92 = 7,067.12/x
  3. Step 3: Cross multiply
    7,198.34x = 9,868.92 × 7,067.12
  4. Step 4: Simplify right side
    7,198.34x = 69,744,841.91
  5. Step 5: Solve for x
    x = 69,744,841.91/7,198.34
  6. Step 6: Final answer
    x = 9,689.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.