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Finding the Fourth Proportional to 7,198.92, 9,936.99 and 4,215.72

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Solution

The fourth proportional to 7,198.92, 9,936.99 and 4,215.72 is: 5,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.92 : 9,936.99 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    7,198.92/9,936.99 = 4,215.72/x
  3. Step 3: Cross multiply
    7,198.92x = 9,936.99 × 4,215.72
  4. Step 4: Simplify right side
    7,198.92x = 41,891,567.48
  5. Step 5: Solve for x
    x = 41,891,567.48/7,198.92
  6. Step 6: Final answer
    x = 5,819.15

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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.