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Finding the Fourth Proportional to 8,916.84, 13,375.56 and 4,234.43

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Solution

The fourth proportional to 8,916.84, 13,375.56 and 4,234.43 is: 6,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.84 : 13,375.56 = 4,234.43 : x
  2. Step 2: Convert to fraction form
    8,916.84/13,375.56 = 4,234.43/x
  3. Step 3: Cross multiply
    8,916.84x = 13,375.56 × 4,234.43
  4. Step 4: Simplify right side
    8,916.84x = 56,637,805.65
  5. Step 5: Solve for x
    x = 56,637,805.65/8,916.84
  6. Step 6: Final answer
    x = 6,351.78

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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.