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Finding the Fourth Proportional to 7,764.84, 11,635.92 and 3,863.88

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Solution

The fourth proportional to 7,764.84, 11,635.92 and 3,863.88 is: 5,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.84 : 11,635.92 = 3,863.88 : x
  2. Step 2: Convert to fraction form
    7,764.84/11,635.92 = 3,863.88/x
  3. Step 3: Cross multiply
    7,764.84x = 11,635.92 × 3,863.88
  4. Step 4: Simplify right side
    7,764.84x = 44,959,798.57
  5. Step 5: Solve for x
    x = 44,959,798.57/7,764.84
  6. Step 6: Final answer
    x = 5,790.18

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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.