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Finding the Fourth Proportional to 21,856.50, 32,781.92 and 7,063.92

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Solution

The fourth proportional to 21,856.50, 32,781.92 and 7,063.92 is: 10,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.50 : 32,781.92 = 7,063.92 : x
  2. Step 2: Convert to fraction form
    21,856.50/32,781.92 = 7,063.92/x
  3. Step 3: Cross multiply
    21,856.50x = 32,781.92 × 7,063.92
  4. Step 4: Simplify right side
    21,856.50x = 231,568,825.01
  5. Step 5: Solve for x
    x = 231,568,825.01/21,856.50
  6. Step 6: Final answer
    x = 10,594.96

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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.