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Finding the Fourth Proportional to 8,310.60, 12,460.32 and 3,924

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Solution

The fourth proportional to 8,310.60, 12,460.32 and 3,924 is: 5,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.60 : 12,460.32 = 3,924 : x
  2. Step 2: Convert to fraction form
    8,310.60/12,460.32 = 3,924/x
  3. Step 3: Cross multiply
    8,310.60x = 12,460.32 × 3,924
  4. Step 4: Simplify right side
    8,310.60x = 48,894,295.68
  5. Step 5: Solve for x
    x = 48,894,295.68/8,310.60
  6. Step 6: Final answer
    x = 5,883.37

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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.