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Finding the Fourth Proportional to 8,626.80, 12,942.24 and 2,783.46

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Solution

The fourth proportional to 8,626.80, 12,942.24 and 2,783.46 is: 4,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.80 : 12,942.24 = 2,783.46 : x
  2. Step 2: Convert to fraction form
    8,626.80/12,942.24 = 2,783.46/x
  3. Step 3: Cross multiply
    8,626.80x = 12,942.24 × 2,783.46
  4. Step 4: Simplify right side
    8,626.80x = 36,024,207.35
  5. Step 5: Solve for x
    x = 36,024,207.35/8,626.80
  6. Step 6: Final answer
    x = 4,175.85

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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.