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Finding the Fourth Proportional to 21,507.96, 32,249.54 and 8,344.96

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Solution

The fourth proportional to 21,507.96, 32,249.54 and 8,344.96 is: 12,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.96 : 32,249.54 = 8,344.96 : x
  2. Step 2: Convert to fraction form
    21,507.96/32,249.54 = 8,344.96/x
  3. Step 3: Cross multiply
    21,507.96x = 32,249.54 × 8,344.96
  4. Step 4: Simplify right side
    21,507.96x = 269,121,061.56
  5. Step 5: Solve for x
    x = 269,121,061.56/21,507.96
  6. Step 6: Final answer
    x = 12,512.62

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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.