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Finding the Fourth Proportional to 7,874.60, 11,811.90 and 3,713.24

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Solution

The fourth proportional to 7,874.60, 11,811.90 and 3,713.24 is: 5,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.60 : 11,811.90 = 3,713.24 : x
  2. Step 2: Convert to fraction form
    7,874.60/11,811.90 = 3,713.24/x
  3. Step 3: Cross multiply
    7,874.60x = 11,811.90 × 3,713.24
  4. Step 4: Simplify right side
    7,874.60x = 43,860,419.56
  5. Step 5: Solve for x
    x = 43,860,419.56/7,874.60
  6. Step 6: Final answer
    x = 5,569.86

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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.