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Finding the Fourth Proportional to 8,254.71, 12,380.62 and 3,811.99

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Solution

The fourth proportional to 8,254.71, 12,380.62 and 3,811.99 is: 5,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.71 : 12,380.62 = 3,811.99 : x
  2. Step 2: Convert to fraction form
    8,254.71/12,380.62 = 3,811.99/x
  3. Step 3: Cross multiply
    8,254.71x = 12,380.62 × 3,811.99
  4. Step 4: Simplify right side
    8,254.71x = 47,194,799.63
  5. Step 5: Solve for x
    x = 47,194,799.63/8,254.71
  6. Step 6: Final answer
    x = 5,717.32

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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.