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Finding the Fourth Proportional to 13,198.57, 18,214.13 and 7,230.79

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Solution

The fourth proportional to 13,198.57, 18,214.13 and 7,230.79 is: 9,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.57 : 18,214.13 = 7,230.79 : x
  2. Step 2: Convert to fraction form
    13,198.57/18,214.13 = 7,230.79/x
  3. Step 3: Cross multiply
    13,198.57x = 18,214.13 × 7,230.79
  4. Step 4: Simplify right side
    13,198.57x = 131,702,589.91
  5. Step 5: Solve for x
    x = 131,702,589.91/13,198.57
  6. Step 6: Final answer
    x = 9,978.55

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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.