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Finding the Fourth Proportional to 17,081.12, 25,622.81 and 8,198.40

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Solution

The fourth proportional to 17,081.12, 25,622.81 and 8,198.40 is: 12,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,081.12 : 25,622.81 = 8,198.40 : x
  2. Step 2: Convert to fraction form
    17,081.12/25,622.81 = 8,198.40/x
  3. Step 3: Cross multiply
    17,081.12x = 25,622.81 × 8,198.40
  4. Step 4: Simplify right side
    17,081.12x = 210,066,045.50
  5. Step 5: Solve for x
    x = 210,066,045.50/17,081.12
  6. Step 6: Final answer
    x = 12,298.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.