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Finding the Fourth Proportional to 8,002.91, 12,006.14 and 3,072.56

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Solution

The fourth proportional to 8,002.91, 12,006.14 and 3,072.56 is: 4,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.91 : 12,006.14 = 3,072.56 : x
  2. Step 2: Convert to fraction form
    8,002.91/12,006.14 = 3,072.56/x
  3. Step 3: Cross multiply
    8,002.91x = 12,006.14 × 3,072.56
  4. Step 4: Simplify right side
    8,002.91x = 36,889,510.12
  5. Step 5: Solve for x
    x = 36,889,510.12/8,002.91
  6. Step 6: Final answer
    x = 4,609.51

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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.