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Finding the Fourth Proportional to 8,321.63, 12,481.76 and 2,478.24

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Solution

The fourth proportional to 8,321.63, 12,481.76 and 2,478.24 is: 3,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.63 : 12,481.76 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    8,321.63/12,481.76 = 2,478.24/x
  3. Step 3: Cross multiply
    8,321.63x = 12,481.76 × 2,478.24
  4. Step 4: Simplify right side
    8,321.63x = 30,932,742.35
  5. Step 5: Solve for x
    x = 30,932,742.35/8,321.63
  6. Step 6: Final answer
    x = 3,717.15

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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.