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Finding the Fourth Proportional to 8,230.25, 12,347.16 and 3,845.30

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Solution

The fourth proportional to 8,230.25, 12,347.16 and 3,845.30 is: 5,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.25 : 12,347.16 = 3,845.30 : x
  2. Step 2: Convert to fraction form
    8,230.25/12,347.16 = 3,845.30/x
  3. Step 3: Cross multiply
    8,230.25x = 12,347.16 × 3,845.30
  4. Step 4: Simplify right side
    8,230.25x = 47,478,534.35
  5. Step 5: Solve for x
    x = 47,478,534.35/8,230.25
  6. Step 6: Final answer
    x = 5,768.78

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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.