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Finding the Fourth Proportional to 20,471.60, 30,708.03 and 7,991.12

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Solution

The fourth proportional to 20,471.60, 30,708.03 and 7,991.12 is: 11,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.60 : 30,708.03 = 7,991.12 : x
  2. Step 2: Convert to fraction form
    20,471.60/30,708.03 = 7,991.12/x
  3. Step 3: Cross multiply
    20,471.60x = 30,708.03 × 7,991.12
  4. Step 4: Simplify right side
    20,471.60x = 245,391,552.69
  5. Step 5: Solve for x
    x = 245,391,552.69/20,471.60
  6. Step 6: Final answer
    x = 11,986.93

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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.