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Finding the Fourth Proportional to 20,500.82, 30,749.70 and 5,506.70

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Solution

The fourth proportional to 20,500.82, 30,749.70 and 5,506.70 is: 8,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.82 : 30,749.70 = 5,506.70 : x
  2. Step 2: Convert to fraction form
    20,500.82/30,749.70 = 5,506.70/x
  3. Step 3: Cross multiply
    20,500.82x = 30,749.70 × 5,506.70
  4. Step 4: Simplify right side
    20,500.82x = 169,329,372.99
  5. Step 5: Solve for x
    x = 169,329,372.99/20,500.82
  6. Step 6: Final answer
    x = 8,259.64

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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.