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Finding the Fourth Proportional to 6,449.84, 9,676.64 and 2,067.20

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Solution

The fourth proportional to 6,449.84, 9,676.64 and 2,067.20 is: 3,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.84 : 9,676.64 = 2,067.20 : x
  2. Step 2: Convert to fraction form
    6,449.84/9,676.64 = 2,067.20/x
  3. Step 3: Cross multiply
    6,449.84x = 9,676.64 × 2,067.20
  4. Step 4: Simplify right side
    6,449.84x = 20,003,550.21
  5. Step 5: Solve for x
    x = 20,003,550.21/6,449.84
  6. Step 6: Final answer
    x = 3,101.40

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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.