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Finding the Fourth Proportional to 20,502.72, 30,683.61 and 13,002.12

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Solution

The fourth proportional to 20,502.72, 30,683.61 and 13,002.12 is: 19,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.72 : 30,683.61 = 13,002.12 : x
  2. Step 2: Convert to fraction form
    20,502.72/30,683.61 = 13,002.12/x
  3. Step 3: Cross multiply
    20,502.72x = 30,683.61 × 13,002.12
  4. Step 4: Simplify right side
    20,502.72x = 398,951,979.25
  5. Step 5: Solve for x
    x = 398,951,979.25/20,502.72
  6. Step 6: Final answer
    x = 19,458.49

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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.