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Finding the Fourth Proportional to 30,704.57, 45,983.04 and 20,813.86

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Solution

The fourth proportional to 30,704.57, 45,983.04 and 20,813.86 is: 31,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.57 : 45,983.04 = 20,813.86 : x
  2. Step 2: Convert to fraction form
    30,704.57/45,983.04 = 20,813.86/x
  3. Step 3: Cross multiply
    30,704.57x = 45,983.04 × 20,813.86
  4. Step 4: Simplify right side
    30,704.57x = 957,084,653.44
  5. Step 5: Solve for x
    x = 957,084,653.44/30,704.57
  6. Step 6: Final answer
    x = 31,170.76

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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.