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Finding the Fourth Proportional to 20,452.30, 30,664.06 and 7,961.78

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Solution

The fourth proportional to 20,452.30, 30,664.06 and 7,961.78 is: 11,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.30 : 30,664.06 = 7,961.78 : x
  2. Step 2: Convert to fraction form
    20,452.30/30,664.06 = 7,961.78/x
  3. Step 3: Cross multiply
    20,452.30x = 30,664.06 × 7,961.78
  4. Step 4: Simplify right side
    20,452.30x = 244,140,499.63
  5. Step 5: Solve for x
    x = 244,140,499.63/20,452.30
  6. Step 6: Final answer
    x = 11,937.07

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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.