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Finding the Fourth Proportional to 6,438.42, 8,884.94 and 3,643.92

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Solution

The fourth proportional to 6,438.42, 8,884.94 and 3,643.92 is: 5,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.42 : 8,884.94 = 3,643.92 : x
  2. Step 2: Convert to fraction form
    6,438.42/8,884.94 = 3,643.92/x
  3. Step 3: Cross multiply
    6,438.42x = 8,884.94 × 3,643.92
  4. Step 4: Simplify right side
    6,438.42x = 32,375,992.35
  5. Step 5: Solve for x
    x = 32,375,992.35/6,438.42
  6. Step 6: Final answer
    x = 5,028.56

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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.