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Finding the Fourth Proportional to 20,201.81, 30,297.04 and 7,713.23

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Solution

The fourth proportional to 20,201.81, 30,297.04 and 7,713.23 is: 11,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.81 : 30,297.04 = 7,713.23 : x
  2. Step 2: Convert to fraction form
    20,201.81/30,297.04 = 7,713.23/x
  3. Step 3: Cross multiply
    20,201.81x = 30,297.04 × 7,713.23
  4. Step 4: Simplify right side
    20,201.81x = 233,688,037.84
  5. Step 5: Solve for x
    x = 233,688,037.84/20,201.81
  6. Step 6: Final answer
    x = 11,567.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.