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Finding the Fourth Proportional to 8,662.44, 12,994.86 and 3,114.75

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Solution

The fourth proportional to 8,662.44, 12,994.86 and 3,114.75 is: 4,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.44 : 12,994.86 = 3,114.75 : x
  2. Step 2: Convert to fraction form
    8,662.44/12,994.86 = 3,114.75/x
  3. Step 3: Cross multiply
    8,662.44x = 12,994.86 × 3,114.75
  4. Step 4: Simplify right side
    8,662.44x = 40,475,740.19
  5. Step 5: Solve for x
    x = 40,475,740.19/8,662.44
  6. Step 6: Final answer
    x = 4,672.56

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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.