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Finding the Fourth Proportional to 8,381, 12,573.12 and 3,186.47

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Solution

The fourth proportional to 8,381, 12,573.12 and 3,186.47 is: 4,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381 : 12,573.12 = 3,186.47 : x
  2. Step 2: Convert to fraction form
    8,381/12,573.12 = 3,186.47/x
  3. Step 3: Cross multiply
    8,381x = 12,573.12 × 3,186.47
  4. Step 4: Simplify right side
    8,381x = 40,063,869.69
  5. Step 5: Solve for x
    x = 40,063,869.69/8,381
  6. Step 6: Final answer
    x = 4,780.32

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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.