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Finding the Fourth Proportional to 8,660.86, 12,994.30 and 2,738.64

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Solution

The fourth proportional to 8,660.86, 12,994.30 and 2,738.64 is: 4,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.86 : 12,994.30 = 2,738.64 : x
  2. Step 2: Convert to fraction form
    8,660.86/12,994.30 = 2,738.64/x
  3. Step 3: Cross multiply
    8,660.86x = 12,994.30 × 2,738.64
  4. Step 4: Simplify right side
    8,660.86x = 35,586,709.75
  5. Step 5: Solve for x
    x = 35,586,709.75/8,660.86
  6. Step 6: Final answer
    x = 4,108.91

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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.