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Finding the Fourth Proportional to 20,519.78, 30,768.72 and 10,649.12

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Solution

The fourth proportional to 20,519.78, 30,768.72 and 10,649.12 is: 15,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.78 : 30,768.72 = 10,649.12 : x
  2. Step 2: Convert to fraction form
    20,519.78/30,768.72 = 10,649.12/x
  3. Step 3: Cross multiply
    20,519.78x = 30,768.72 × 10,649.12
  4. Step 4: Simplify right side
    20,519.78x = 327,659,791.53
  5. Step 5: Solve for x
    x = 327,659,791.53/20,519.78
  6. Step 6: Final answer
    x = 15,968.00

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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.