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Finding the Fourth Proportional to 8,520.40, 12,776.24 and 3,836.40

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Solution

The fourth proportional to 8,520.40, 12,776.24 and 3,836.40 is: 5,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.40 : 12,776.24 = 3,836.40 : x
  2. Step 2: Convert to fraction form
    8,520.40/12,776.24 = 3,836.40/x
  3. Step 3: Cross multiply
    8,520.40x = 12,776.24 × 3,836.40
  4. Step 4: Simplify right side
    8,520.40x = 49,014,767.14
  5. Step 5: Solve for x
    x = 49,014,767.14/8,520.40
  6. Step 6: Final answer
    x = 5,752.64

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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.