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Finding the Fourth Proportional to 30,608, 45,919.68 and 8,720

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Solution

The fourth proportional to 30,608, 45,919.68 and 8,720 is: 13,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,608 : 45,919.68 = 8,720 : x
  2. Step 2: Convert to fraction form
    30,608/45,919.68 = 8,720/x
  3. Step 3: Cross multiply
    30,608x = 45,919.68 × 8,720
  4. Step 4: Simplify right side
    30,608x = 400,419,609.60
  5. Step 5: Solve for x
    x = 400,419,609.60/30,608
  6. Step 6: Final answer
    x = 13,082.19

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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.