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Finding the Fourth Proportional to 20,926.80, 31,390.20 and 8,614.80

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Solution

The fourth proportional to 20,926.80, 31,390.20 and 8,614.80 is: 12,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.80 : 31,390.20 = 8,614.80 : x
  2. Step 2: Convert to fraction form
    20,926.80/31,390.20 = 8,614.80/x
  3. Step 3: Cross multiply
    20,926.80x = 31,390.20 × 8,614.80
  4. Step 4: Simplify right side
    20,926.80x = 270,420,294.96
  5. Step 5: Solve for x
    x = 270,420,294.96/20,926.80
  6. Step 6: Final answer
    x = 12,922.20

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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.