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Finding the Fourth Proportional to 20,104.78, 30,159.72 and 7,629.16

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Solution

The fourth proportional to 20,104.78, 30,159.72 and 7,629.16 is: 11,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.78 : 30,159.72 = 7,629.16 : x
  2. Step 2: Convert to fraction form
    20,104.78/30,159.72 = 7,629.16/x
  3. Step 3: Cross multiply
    20,104.78x = 30,159.72 × 7,629.16
  4. Step 4: Simplify right side
    20,104.78x = 230,093,329.44
  5. Step 5: Solve for x
    x = 230,093,329.44/20,104.78
  6. Step 6: Final answer
    x = 11,444.71

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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.