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Finding the Fourth Proportional to 20,609.10, 30,892.05 and 8,124.30

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Solution

The fourth proportional to 20,609.10, 30,892.05 and 8,124.30 is: 12,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.10 : 30,892.05 = 8,124.30 : x
  2. Step 2: Convert to fraction form
    20,609.10/30,892.05 = 8,124.30/x
  3. Step 3: Cross multiply
    20,609.10x = 30,892.05 × 8,124.30
  4. Step 4: Simplify right side
    20,609.10x = 250,976,281.82
  5. Step 5: Solve for x
    x = 250,976,281.82/20,609.10
  6. Step 6: Final answer
    x = 12,177.94

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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.