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Finding the Fourth Proportional to 20,711.70, 31,067.55 and 11,939.40

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Solution

The fourth proportional to 20,711.70, 31,067.55 and 11,939.40 is: 17,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.70 : 31,067.55 = 11,939.40 : x
  2. Step 2: Convert to fraction form
    20,711.70/31,067.55 = 11,939.40/x
  3. Step 3: Cross multiply
    20,711.70x = 31,067.55 × 11,939.40
  4. Step 4: Simplify right side
    20,711.70x = 370,927,906.47
  5. Step 5: Solve for x
    x = 370,927,906.47/20,711.70
  6. Step 6: Final answer
    x = 17,909.10

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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.