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Finding the Fourth Proportional to 6,442.96, 9,676.32 and 3,983.80

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Solution

The fourth proportional to 6,442.96, 9,676.32 and 3,983.80 is: 5,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.96 : 9,676.32 = 3,983.80 : x
  2. Step 2: Convert to fraction form
    6,442.96/9,676.32 = 3,983.80/x
  3. Step 3: Cross multiply
    6,442.96x = 9,676.32 × 3,983.80
  4. Step 4: Simplify right side
    6,442.96x = 38,548,523.62
  5. Step 5: Solve for x
    x = 38,548,523.62/6,442.96
  6. Step 6: Final answer
    x = 5,983.05

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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.