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Finding the Fourth Proportional to 8,428.17, 12,644.06 and 3,234

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Solution

The fourth proportional to 8,428.17, 12,644.06 and 3,234 is: 4,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.17 : 12,644.06 = 3,234 : x
  2. Step 2: Convert to fraction form
    8,428.17/12,644.06 = 3,234/x
  3. Step 3: Cross multiply
    8,428.17x = 12,644.06 × 3,234
  4. Step 4: Simplify right side
    8,428.17x = 40,890,890.04
  5. Step 5: Solve for x
    x = 40,890,890.04/8,428.17
  6. Step 6: Final answer
    x = 4,851.69

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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.