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Finding the Fourth Proportional to 6,646.38, 9,171.90 and 3,813.64

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Solution

The fourth proportional to 6,646.38, 9,171.90 and 3,813.64 is: 5,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.38 : 9,171.90 = 3,813.64 : x
  2. Step 2: Convert to fraction form
    6,646.38/9,171.90 = 3,813.64/x
  3. Step 3: Cross multiply
    6,646.38x = 9,171.90 × 3,813.64
  4. Step 4: Simplify right side
    6,646.38x = 34,978,324.72
  5. Step 5: Solve for x
    x = 34,978,324.72/6,646.38
  6. Step 6: Final answer
    x = 5,262.76

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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.