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Finding the Fourth Proportional to 5,198.59, 7,786.81 and 4,207.15

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Solution

The fourth proportional to 5,198.59, 7,786.81 and 4,207.15 is: 6,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.59 : 7,786.81 = 4,207.15 : x
  2. Step 2: Convert to fraction form
    5,198.59/7,786.81 = 4,207.15/x
  3. Step 3: Cross multiply
    5,198.59x = 7,786.81 × 4,207.15
  4. Step 4: Simplify right side
    5,198.59x = 32,760,277.69
  5. Step 5: Solve for x
    x = 32,760,277.69/5,198.59
  6. Step 6: Final answer
    x = 6,301.76

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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.