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Finding the Fourth Proportional to 20,684.92, 31,009.08 and 8,213.68

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Solution

The fourth proportional to 20,684.92, 31,009.08 and 8,213.68 is: 12,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.92 : 31,009.08 = 8,213.68 : x
  2. Step 2: Convert to fraction form
    20,684.92/31,009.08 = 8,213.68/x
  3. Step 3: Cross multiply
    20,684.92x = 31,009.08 × 8,213.68
  4. Step 4: Simplify right side
    20,684.92x = 254,698,660.21
  5. Step 5: Solve for x
    x = 254,698,660.21/20,684.92
  6. Step 6: Final answer
    x = 12,313.25

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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.