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Finding the Fourth Proportional to 20,544.68, 30,813.92 and 6,502.88

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Solution

The fourth proportional to 20,544.68, 30,813.92 and 6,502.88 is: 9,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.68 : 30,813.92 = 6,502.88 : x
  2. Step 2: Convert to fraction form
    20,544.68/30,813.92 = 6,502.88/x
  3. Step 3: Cross multiply
    20,544.68x = 30,813.92 × 6,502.88
  4. Step 4: Simplify right side
    20,544.68x = 200,379,224.09
  5. Step 5: Solve for x
    x = 200,379,224.09/20,544.68
  6. Step 6: Final answer
    x = 9,753.34

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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.