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Finding the Fourth Proportional to 21,998.70, 32,991.17 and 7,956.90

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Solution

The fourth proportional to 21,998.70, 32,991.17 and 7,956.90 is: 11,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.70 : 32,991.17 = 7,956.90 : x
  2. Step 2: Convert to fraction form
    21,998.70/32,991.17 = 7,956.90/x
  3. Step 3: Cross multiply
    21,998.70x = 32,991.17 × 7,956.90
  4. Step 4: Simplify right side
    21,998.70x = 262,507,400.79
  5. Step 5: Solve for x
    x = 262,507,400.79/21,998.70
  6. Step 6: Final answer
    x = 11,932.86

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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.