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Finding the Fourth Proportional to 8,201.25, 12,310.08 and 4,313.86

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Solution

The fourth proportional to 8,201.25, 12,310.08 and 4,313.86 is: 6,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.25 : 12,310.08 = 4,313.86 : x
  2. Step 2: Convert to fraction form
    8,201.25/12,310.08 = 4,313.86/x
  3. Step 3: Cross multiply
    8,201.25x = 12,310.08 × 4,313.86
  4. Step 4: Simplify right side
    8,201.25x = 53,103,914.76
  5. Step 5: Solve for x
    x = 53,103,914.76/8,201.25
  6. Step 6: Final answer
    x = 6,475.10

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1.5x scale

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.