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Finding the Fourth Proportional to 21,847.26, 32,770.88 and 5,431.26

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Solution

The fourth proportional to 21,847.26, 32,770.88 and 5,431.26 is: 8,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.26 : 32,770.88 = 5,431.26 : x
  2. Step 2: Convert to fraction form
    21,847.26/32,770.88 = 5,431.26/x
  3. Step 3: Cross multiply
    21,847.26x = 32,770.88 × 5,431.26
  4. Step 4: Simplify right side
    21,847.26x = 177,987,169.71
  5. Step 5: Solve for x
    x = 177,987,169.71/21,847.26
  6. Step 6: Final answer
    x = 8,146.89

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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.