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Finding the Fourth Proportional to 13,195, 18,209.10 and 7,226.72

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Solution

The fourth proportional to 13,195, 18,209.10 and 7,226.72 is: 9,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195 : 18,209.10 = 7,226.72 : x
  2. Step 2: Convert to fraction form
    13,195/18,209.10 = 7,226.72/x
  3. Step 3: Cross multiply
    13,195x = 18,209.10 × 7,226.72
  4. Step 4: Simplify right side
    13,195x = 131,592,067.15
  5. Step 5: Solve for x
    x = 131,592,067.15/13,195
  6. Step 6: Final answer
    x = 9,972.87

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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.