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Finding the Fourth Proportional to 8,511.82, 12,760.83 and 3,828.40

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Solution

The fourth proportional to 8,511.82, 12,760.83 and 3,828.40 is: 5,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.82 : 12,760.83 = 3,828.40 : x
  2. Step 2: Convert to fraction form
    8,511.82/12,760.83 = 3,828.40/x
  3. Step 3: Cross multiply
    8,511.82x = 12,760.83 × 3,828.40
  4. Step 4: Simplify right side
    8,511.82x = 48,853,561.57
  5. Step 5: Solve for x
    x = 48,853,561.57/8,511.82
  6. Step 6: Final answer
    x = 5,739.50

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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.