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Finding the Fourth Proportional to 23,920.96, 32,991.24 and 21,234.16

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Solution

The fourth proportional to 23,920.96, 32,991.24 and 21,234.16 is: 29,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.96 : 32,991.24 = 21,234.16 : x
  2. Step 2: Convert to fraction form
    23,920.96/32,991.24 = 21,234.16/x
  3. Step 3: Cross multiply
    23,920.96x = 32,991.24 × 21,234.16
  4. Step 4: Simplify right side
    23,920.96x = 700,541,268.76
  5. Step 5: Solve for x
    x = 700,541,268.76/23,920.96
  6. Step 6: Final answer
    x = 29,285.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.