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Finding the Fourth Proportional to 6,447.68, 9,671.52 and 4,255.90

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Solution

The fourth proportional to 6,447.68, 9,671.52 and 4,255.90 is: 6,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.68 : 9,671.52 = 4,255.90 : x
  2. Step 2: Convert to fraction form
    6,447.68/9,671.52 = 4,255.90/x
  3. Step 3: Cross multiply
    6,447.68x = 9,671.52 × 4,255.90
  4. Step 4: Simplify right side
    6,447.68x = 41,161,022.82
  5. Step 5: Solve for x
    x = 41,161,022.82/6,447.68
  6. Step 6: Final answer
    x = 6,383.85

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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.