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Finding the Fourth Proportional to 20,711.40, 31,067.10 and 8,399.40

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Solution

The fourth proportional to 20,711.40, 31,067.10 and 8,399.40 is: 12,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.40 : 31,067.10 = 8,399.40 : x
  2. Step 2: Convert to fraction form
    20,711.40/31,067.10 = 8,399.40/x
  3. Step 3: Cross multiply
    20,711.40x = 31,067.10 × 8,399.40
  4. Step 4: Simplify right side
    20,711.40x = 260,944,999.74
  5. Step 5: Solve for x
    x = 260,944,999.74/20,711.40
  6. Step 6: Final answer
    x = 12,599.10

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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.