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Finding the Fourth Proportional to 8,509.82, 12,757.85 and 3,826.40

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Solution

The fourth proportional to 8,509.82, 12,757.85 and 3,826.40 is: 5,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.82 : 12,757.85 = 3,826.40 : x
  2. Step 2: Convert to fraction form
    8,509.82/12,757.85 = 3,826.40/x
  3. Step 3: Cross multiply
    8,509.82x = 12,757.85 × 3,826.40
  4. Step 4: Simplify right side
    8,509.82x = 48,816,618.11
  5. Step 5: Solve for x
    x = 48,816,618.11/8,509.82
  6. Step 6: Final answer
    x = 5,736.50

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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.