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Finding the Fourth Proportional to 20,812.80, 31,219.88 and 7,662.09

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Solution

The fourth proportional to 20,812.80, 31,219.88 and 7,662.09 is: 11,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.80 : 31,219.88 = 7,662.09 : x
  2. Step 2: Convert to fraction form
    20,812.80/31,219.88 = 7,662.09/x
  3. Step 3: Cross multiply
    20,812.80x = 31,219.88 × 7,662.09
  4. Step 4: Simplify right side
    20,812.80x = 239,209,652.21
  5. Step 5: Solve for x
    x = 239,209,652.21/20,812.80
  6. Step 6: Final answer
    x = 11,493.39

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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.