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Finding the Fourth Proportional to 8,662.50, 12,994.56 and 2,817.54

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Solution

The fourth proportional to 8,662.50, 12,994.56 and 2,817.54 is: 4,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.50 : 12,994.56 = 2,817.54 : x
  2. Step 2: Convert to fraction form
    8,662.50/12,994.56 = 2,817.54/x
  3. Step 3: Cross multiply
    8,662.50x = 12,994.56 × 2,817.54
  4. Step 4: Simplify right side
    8,662.50x = 36,612,692.58
  5. Step 5: Solve for x
    x = 36,612,692.58/8,662.50
  6. Step 6: Final answer
    x = 4,226.57

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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.