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Finding the Fourth Proportional to 20,199.21, 30,300.81 and 7,729.71

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Solution

The fourth proportional to 20,199.21, 30,300.81 and 7,729.71 is: 11,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.21 : 30,300.81 = 7,729.71 : x
  2. Step 2: Convert to fraction form
    20,199.21/30,300.81 = 7,729.71/x
  3. Step 3: Cross multiply
    20,199.21x = 30,300.81 × 7,729.71
  4. Step 4: Simplify right side
    20,199.21x = 234,216,474.07
  5. Step 5: Solve for x
    x = 234,216,474.07/20,199.21
  6. Step 6: Final answer
    x = 11,595.33

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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.