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Finding the Fourth Proportional to 6,397.73, 9,584.90 and 4,638.38

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Solution

The fourth proportional to 6,397.73, 9,584.90 and 4,638.38 is: 6,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.73 : 9,584.90 = 4,638.38 : x
  2. Step 2: Convert to fraction form
    6,397.73/9,584.90 = 4,638.38/x
  3. Step 3: Cross multiply
    6,397.73x = 9,584.90 × 4,638.38
  4. Step 4: Simplify right side
    6,397.73x = 44,458,396.10
  5. Step 5: Solve for x
    x = 44,458,396.10/6,397.73
  6. Step 6: Final answer
    x = 6,949.09

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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.