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Finding the Fourth Proportional to 3,105.86, 4,653.32 and 2,766.87

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Solution

The fourth proportional to 3,105.86, 4,653.32 and 2,766.87 is: 4,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.86 : 4,653.32 = 2,766.87 : x
  2. Step 2: Convert to fraction form
    3,105.86/4,653.32 = 2,766.87/x
  3. Step 3: Cross multiply
    3,105.86x = 4,653.32 × 2,766.87
  4. Step 4: Simplify right side
    3,105.86x = 12,875,117.67
  5. Step 5: Solve for x
    x = 12,875,117.67/3,105.86
  6. Step 6: Final answer
    x = 4,145.43

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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.