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Finding the Fourth Proportional to 8,218, 12,310.78 and 5,436.26

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Solution

The fourth proportional to 8,218, 12,310.78 and 5,436.26 is: 8,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218 : 12,310.78 = 5,436.26 : x
  2. Step 2: Convert to fraction form
    8,218/12,310.78 = 5,436.26/x
  3. Step 3: Cross multiply
    8,218x = 12,310.78 × 5,436.26
  4. Step 4: Simplify right side
    8,218x = 66,924,573.70
  5. Step 5: Solve for x
    x = 66,924,573.70/8,218
  6. Step 6: Final answer
    x = 8,143.66

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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.