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Finding the Fourth Proportional to 20,540.50, 30,810.76 and 8,228.50

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Solution

The fourth proportional to 20,540.50, 30,810.76 and 8,228.50 is: 12,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.50 : 30,810.76 = 8,228.50 : x
  2. Step 2: Convert to fraction form
    20,540.50/30,810.76 = 8,228.50/x
  3. Step 3: Cross multiply
    20,540.50x = 30,810.76 × 8,228.50
  4. Step 4: Simplify right side
    20,540.50x = 253,526,338.66
  5. Step 5: Solve for x
    x = 253,526,338.66/20,540.50
  6. Step 6: Final answer
    x = 12,342.75

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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.