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Finding the Fourth Proportional to 3,874.47, 5,811.68 and 1,409.27

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Solution

The fourth proportional to 3,874.47, 5,811.68 and 1,409.27 is: 2,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.47 : 5,811.68 = 1,409.27 : x
  2. Step 2: Convert to fraction form
    3,874.47/5,811.68 = 1,409.27/x
  3. Step 3: Cross multiply
    3,874.47x = 5,811.68 × 1,409.27
  4. Step 4: Simplify right side
    3,874.47x = 8,190,200.74
  5. Step 5: Solve for x
    x = 8,190,200.74/3,874.47
  6. Step 6: Final answer
    x = 2,113.89

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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.