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Finding the Fourth Proportional to 8,137.40, 12,207 and 2,589.46

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Solution

The fourth proportional to 8,137.40, 12,207 and 2,589.46 is: 3,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.40 : 12,207 = 2,589.46 : x
  2. Step 2: Convert to fraction form
    8,137.40/12,207 = 2,589.46/x
  3. Step 3: Cross multiply
    8,137.40x = 12,207 × 2,589.46
  4. Step 4: Simplify right side
    8,137.40x = 31,609,507.70
  5. Step 5: Solve for x
    x = 31,609,507.70/8,137.40
  6. Step 6: Final answer
    x = 3,884.47

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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.