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Finding the Fourth Proportional to 20,693.40, 31,043.52 and 8,213.50

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Solution

The fourth proportional to 20,693.40, 31,043.52 and 8,213.50 is: 12,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.40 : 31,043.52 = 8,213.50 : x
  2. Step 2: Convert to fraction form
    20,693.40/31,043.52 = 8,213.50/x
  3. Step 3: Cross multiply
    20,693.40x = 31,043.52 × 8,213.50
  4. Step 4: Simplify right side
    20,693.40x = 254,975,951.52
  5. Step 5: Solve for x
    x = 254,975,951.52/20,693.40
  6. Step 6: Final answer
    x = 12,321.61

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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.