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Finding the Fourth Proportional to 20,568.96, 30,812.33 and 9,460.42

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Solution

The fourth proportional to 20,568.96, 30,812.33 and 9,460.42 is: 14,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.96 : 30,812.33 = 9,460.42 : x
  2. Step 2: Convert to fraction form
    20,568.96/30,812.33 = 9,460.42/x
  3. Step 3: Cross multiply
    20,568.96x = 30,812.33 × 9,460.42
  4. Step 4: Simplify right side
    20,568.96x = 291,497,529.60
  5. Step 5: Solve for x
    x = 291,497,529.60/20,568.96
  6. Step 6: Final answer
    x = 14,171.72

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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.