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Finding the Fourth Proportional to 6,512, 9,764.94 and 2,811.92

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Solution

The fourth proportional to 6,512, 9,764.94 and 2,811.92 is: 4,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 9,764.94 = 2,811.92 : x
  2. Step 2: Convert to fraction form
    6,512/9,764.94 = 2,811.92/x
  3. Step 3: Cross multiply
    6,512x = 9,764.94 × 2,811.92
  4. Step 4: Simplify right side
    6,512x = 27,458,230.08
  5. Step 5: Solve for x
    x = 27,458,230.08/6,512
  6. Step 6: Final answer
    x = 4,216.56

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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.