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Finding the Fourth Proportional to 20,665.80, 30,982.01 and 7,331.45

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Solution

The fourth proportional to 20,665.80, 30,982.01 and 7,331.45 is: 10,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.80 : 30,982.01 = 7,331.45 : x
  2. Step 2: Convert to fraction form
    20,665.80/30,982.01 = 7,331.45/x
  3. Step 3: Cross multiply
    20,665.80x = 30,982.01 × 7,331.45
  4. Step 4: Simplify right side
    20,665.80x = 227,142,865.65
  5. Step 5: Solve for x
    x = 227,142,865.65/20,665.80
  6. Step 6: Final answer
    x = 10,991.24

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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.