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Finding the Fourth Proportional to 6,438.21, 8,882.42 and 3,919.47

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Solution

The fourth proportional to 6,438.21, 8,882.42 and 3,919.47 is: 5,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.21 : 8,882.42 = 3,919.47 : x
  2. Step 2: Convert to fraction form
    6,438.21/8,882.42 = 3,919.47/x
  3. Step 3: Cross multiply
    6,438.21x = 8,882.42 × 3,919.47
  4. Step 4: Simplify right side
    6,438.21x = 34,814,359.12
  5. Step 5: Solve for x
    x = 34,814,359.12/6,438.21
  6. Step 6: Final answer
    x = 5,407.46

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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.