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Finding the Fourth Proportional to 20,611.32, 30,913.40 and 9,517.07

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Solution

The fourth proportional to 20,611.32, 30,913.40 and 9,517.07 is: 14,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,611.32 : 30,913.40 = 9,517.07 : x
  2. Step 2: Convert to fraction form
    20,611.32/30,913.40 = 9,517.07/x
  3. Step 3: Cross multiply
    20,611.32x = 30,913.40 × 9,517.07
  4. Step 4: Simplify right side
    20,611.32x = 294,204,789.59
  5. Step 5: Solve for x
    x = 294,204,789.59/20,611.32
  6. Step 6: Final answer
    x = 14,273.94

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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.