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Finding the Fourth Proportional to 8,310.48, 12,460.14 and 3,309.54

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Solution

The fourth proportional to 8,310.48, 12,460.14 and 3,309.54 is: 4,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.48 : 12,460.14 = 3,309.54 : x
  2. Step 2: Convert to fraction form
    8,310.48/12,460.14 = 3,309.54/x
  3. Step 3: Cross multiply
    8,310.48x = 12,460.14 × 3,309.54
  4. Step 4: Simplify right side
    8,310.48x = 41,237,331.74
  5. Step 5: Solve for x
    x = 41,237,331.74/8,310.48
  6. Step 6: Final answer
    x = 4,962.09

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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.