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Finding the Fourth Proportional to 21,847, 32,770.62 and 5,431

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Solution

The fourth proportional to 21,847, 32,770.62 and 5,431 is: 8,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847 : 32,770.62 = 5,431 : x
  2. Step 2: Convert to fraction form
    21,847/32,770.62 = 5,431/x
  3. Step 3: Cross multiply
    21,847x = 32,770.62 × 5,431
  4. Step 4: Simplify right side
    21,847x = 177,977,237.22
  5. Step 5: Solve for x
    x = 177,977,237.22/21,847
  6. Step 6: Final answer
    x = 8,146.53

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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.