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Finding the Fourth Proportional to 20,163.60, 30,223.80 and 7,678.80

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Solution

The fourth proportional to 20,163.60, 30,223.80 and 7,678.80 is: 11,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.60 : 30,223.80 = 7,678.80 : x
  2. Step 2: Convert to fraction form
    20,163.60/30,223.80 = 7,678.80/x
  3. Step 3: Cross multiply
    20,163.60x = 30,223.80 × 7,678.80
  4. Step 4: Simplify right side
    20,163.60x = 232,082,515.44
  5. Step 5: Solve for x
    x = 232,082,515.44/20,163.60
  6. Step 6: Final answer
    x = 11,509.97

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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.