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Finding the Fourth Proportional to 21,141.60, 31,692.60 and 8,002.80

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Solution

The fourth proportional to 21,141.60, 31,692.60 and 8,002.80 is: 11,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.60 : 31,692.60 = 8,002.80 : x
  2. Step 2: Convert to fraction form
    21,141.60/31,692.60 = 8,002.80/x
  3. Step 3: Cross multiply
    21,141.60x = 31,692.60 × 8,002.80
  4. Step 4: Simplify right side
    21,141.60x = 253,629,539.28
  5. Step 5: Solve for x
    x = 253,629,539.28/21,141.60
  6. Step 6: Final answer
    x = 11,996.71

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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.