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Finding the Fourth Proportional to 20,513.76, 30,770.50 and 5,722.75

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Solution

The fourth proportional to 20,513.76, 30,770.50 and 5,722.75 is: 8,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.76 : 30,770.50 = 5,722.75 : x
  2. Step 2: Convert to fraction form
    20,513.76/30,770.50 = 5,722.75/x
  3. Step 3: Cross multiply
    20,513.76x = 30,770.50 × 5,722.75
  4. Step 4: Simplify right side
    20,513.76x = 176,091,878.88
  5. Step 5: Solve for x
    x = 176,091,878.88/20,513.76
  6. Step 6: Final answer
    x = 8,584.09

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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.