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Finding the Fourth Proportional to 8,137.52, 12,207.19 and 2,589.58

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Solution

The fourth proportional to 8,137.52, 12,207.19 and 2,589.58 is: 3,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.52 : 12,207.19 = 2,589.58 : x
  2. Step 2: Convert to fraction form
    8,137.52/12,207.19 = 2,589.58/x
  3. Step 3: Cross multiply
    8,137.52x = 12,207.19 × 2,589.58
  4. Step 4: Simplify right side
    8,137.52x = 31,611,519.12
  5. Step 5: Solve for x
    x = 31,611,519.12/8,137.52
  6. Step 6: Final answer
    x = 3,884.66

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1.5x scale

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.