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Finding the Fourth Proportional to 20,512.74, 30,765.72 and 5,723.16

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Solution

The fourth proportional to 20,512.74, 30,765.72 and 5,723.16 is: 8,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.74 : 30,765.72 = 5,723.16 : x
  2. Step 2: Convert to fraction form
    20,512.74/30,765.72 = 5,723.16/x
  3. Step 3: Cross multiply
    20,512.74x = 30,765.72 × 5,723.16
  4. Step 4: Simplify right side
    20,512.74x = 176,077,138.08
  5. Step 5: Solve for x
    x = 176,077,138.08/20,512.74
  6. Step 6: Final answer
    x = 8,583.79

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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.