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Finding the Fourth Proportional to 20,504.56, 30,755.92 and 5,714.24

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Solution

The fourth proportional to 20,504.56, 30,755.92 and 5,714.24 is: 8,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.56 : 30,755.92 = 5,714.24 : x
  2. Step 2: Convert to fraction form
    20,504.56/30,755.92 = 5,714.24/x
  3. Step 3: Cross multiply
    20,504.56x = 30,755.92 × 5,714.24
  4. Step 4: Simplify right side
    20,504.56x = 175,746,708.30
  5. Step 5: Solve for x
    x = 175,746,708.30/20,504.56
  6. Step 6: Final answer
    x = 8,571.10

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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.