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Finding the Fourth Proportional to 3,874.92, 5,811.77 and 1,409.39

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Solution

The fourth proportional to 3,874.92, 5,811.77 and 1,409.39 is: 2,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.92 : 5,811.77 = 1,409.39 : x
  2. Step 2: Convert to fraction form
    3,874.92/5,811.77 = 1,409.39/x
  3. Step 3: Cross multiply
    3,874.92x = 5,811.77 × 1,409.39
  4. Step 4: Simplify right side
    3,874.92x = 8,191,014.41
  5. Step 5: Solve for x
    x = 8,191,014.41/3,874.92
  6. Step 6: Final answer
    x = 2,113.85

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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.