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Finding the Fourth Proportional to 6,447.92, 9,669.12 and 2,064.20

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Solution

The fourth proportional to 6,447.92, 9,669.12 and 2,064.20 is: 3,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.92 : 9,669.12 = 2,064.20 : x
  2. Step 2: Convert to fraction form
    6,447.92/9,669.12 = 2,064.20/x
  3. Step 3: Cross multiply
    6,447.92x = 9,669.12 × 2,064.20
  4. Step 4: Simplify right side
    6,447.92x = 19,958,997.50
  5. Step 5: Solve for x
    x = 19,958,997.50/6,447.92
  6. Step 6: Final answer
    x = 3,095.42

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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.