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Finding the Fourth Proportional to 6,785.82, 10,178.82 and 3,860.64

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Solution

The fourth proportional to 6,785.82, 10,178.82 and 3,860.64 is: 5,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.82 : 10,178.82 = 3,860.64 : x
  2. Step 2: Convert to fraction form
    6,785.82/10,178.82 = 3,860.64/x
  3. Step 3: Cross multiply
    6,785.82x = 10,178.82 × 3,860.64
  4. Step 4: Simplify right side
    6,785.82x = 39,296,759.64
  5. Step 5: Solve for x
    x = 39,296,759.64/6,785.82
  6. Step 6: Final answer
    x = 5,791.01

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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.