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Finding the Fourth Proportional to 20,353.82, 30,535.60 and 8,501

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Solution

The fourth proportional to 20,353.82, 30,535.60 and 8,501 is: 12,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,353.82 : 30,535.60 = 8,501 : x
  2. Step 2: Convert to fraction form
    20,353.82/30,535.60 = 8,501/x
  3. Step 3: Cross multiply
    20,353.82x = 30,535.60 × 8,501
  4. Step 4: Simplify right side
    20,353.82x = 259,583,135.60
  5. Step 5: Solve for x
    x = 259,583,135.60/20,353.82
  6. Step 6: Final answer
    x = 12,753.53

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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.