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Finding the Fourth Proportional to 20,318.55, 30,481.21 and 6,991

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Solution

The fourth proportional to 20,318.55, 30,481.21 and 6,991 is: 10,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.55 : 30,481.21 = 6,991 : x
  2. Step 2: Convert to fraction form
    20,318.55/30,481.21 = 6,991/x
  3. Step 3: Cross multiply
    20,318.55x = 30,481.21 × 6,991
  4. Step 4: Simplify right side
    20,318.55x = 213,094,139.11
  5. Step 5: Solve for x
    x = 213,094,139.11/20,318.55
  6. Step 6: Final answer
    x = 10,487.66

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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.