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Finding the Fourth Proportional to 20,813, 31,224.54 and 8,501

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Solution

The fourth proportional to 20,813, 31,224.54 and 8,501 is: 12,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813 : 31,224.54 = 8,501 : x
  2. Step 2: Convert to fraction form
    20,813/31,224.54 = 8,501/x
  3. Step 3: Cross multiply
    20,813x = 31,224.54 × 8,501
  4. Step 4: Simplify right side
    20,813x = 265,439,814.54
  5. Step 5: Solve for x
    x = 265,439,814.54/20,813
  6. Step 6: Final answer
    x = 12,753.56

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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.