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Finding the Fourth Proportional to 21,847.89, 32,771.85 and 5,431.89

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Solution

The fourth proportional to 21,847.89, 32,771.85 and 5,431.89 is: 8,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.89 : 32,771.85 = 5,431.89 : x
  2. Step 2: Convert to fraction form
    21,847.89/32,771.85 = 5,431.89/x
  3. Step 3: Cross multiply
    21,847.89x = 32,771.85 × 5,431.89
  4. Step 4: Simplify right side
    21,847.89x = 178,013,084.30
  5. Step 5: Solve for x
    x = 178,013,084.30/21,847.89
  6. Step 6: Final answer
    x = 8,147.84

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1.5x scale

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.