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Finding the Fourth Proportional to 8,951.14, 13,431 and 3,689.98

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Solution

The fourth proportional to 8,951.14, 13,431 and 3,689.98 is: 5,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.14 : 13,431 = 3,689.98 : x
  2. Step 2: Convert to fraction form
    8,951.14/13,431 = 3,689.98/x
  3. Step 3: Cross multiply
    8,951.14x = 13,431 × 3,689.98
  4. Step 4: Simplify right side
    8,951.14x = 49,560,121.38
  5. Step 5: Solve for x
    x = 49,560,121.38/8,951.14
  6. Step 6: Final answer
    x = 5,536.74

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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.